---
OA_place: repository
OA_type: green
_id: '21270'
abstract:
- lang: eng
  text: "The one-dimensional Fröhlich model describing the motion of a single electron
    interacting with optical phonons is a paradigmatic model of quantum many-body
    physics. We predict the existence of an arbitrarily large number of bound excited
    states in the strong-coupling limit and calculate their excitation energies. Numerical
    simulations of a discretized model demonstrate the complete amelioration of the
    projector Monte Carlo sign problem by walker annihilation in an infinite Hilbert
    space. They reveal the threshold for the occurrence of the first bound excited
    states at a value of \U0001D6FC≈1.73 for the dimensionless coupling constant.
    This puts the threshold into the regime of intermediate interaction strength.
    We find a significant spectral weight and increased phonon number of the bound
    excited state at threshold."
acknowledgement: We are grateful to Dmytro Kolisnyk for his help in working out the
  spectrum of the Hessian. This work was supported by the Marsden Fund of New Zealand
  (Contract No. MAU2007) from government funding administered by the Royal Society
  Te Apārangi and by a summer scholarship from Te Whai Ao – Dodd-Walls Centre for
  Photonic and Quantum Technologies and the Physics Department, University of Auckland.
  We acknowledge support by the New Zealand eScience Infrastructure (NeSI) high-performance
  computing facilities in the form of a merit project allocation.
article_number: '184312'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: J.
  full_name: Taylor, J.
  last_name: Taylor
- first_name: M.
  full_name: Čufar, M.
  last_name: Čufar
- first_name: David Johannes
  full_name: Mitrouskas, David Johannes
  id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
  last_name: Mitrouskas
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: E.
  full_name: Pahl, E.
  last_name: Pahl
- first_name: J.
  full_name: Brand, J.
  last_name: Brand
citation:
  ama: Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. Bound excited
    states of Fröhlich polarons in one dimension. <i>Physical Review B</i>. 2025;112(18).
    doi:<a href="https://doi.org/10.1103/s9p9-jflq">10.1103/s9p9-jflq</a>
  apa: Taylor, J., Čufar, M., Mitrouskas, D. J., Seiringer, R., Pahl, E., &#38; Brand,
    J. (2025). Bound excited states of Fröhlich polarons in one dimension. <i>Physical
    Review B</i>. American Physical Society. <a href="https://doi.org/10.1103/s9p9-jflq">https://doi.org/10.1103/s9p9-jflq</a>
  chicago: Taylor, J., M. Čufar, David Johannes Mitrouskas, Robert Seiringer, E. Pahl,
    and J. Brand. “Bound Excited States of Fröhlich Polarons in One Dimension.” <i>Physical
    Review B</i>. American Physical Society, 2025. <a href="https://doi.org/10.1103/s9p9-jflq">https://doi.org/10.1103/s9p9-jflq</a>.
  ieee: J. Taylor, M. Čufar, D. J. Mitrouskas, R. Seiringer, E. Pahl, and J. Brand,
    “Bound excited states of Fröhlich polarons in one dimension,” <i>Physical Review
    B</i>, vol. 112, no. 18. American Physical Society, 2025.
  ista: Taylor J, Čufar M, Mitrouskas DJ, Seiringer R, Pahl E, Brand J. 2025. Bound
    excited states of Fröhlich polarons in one dimension. Physical Review B. 112(18),
    184312.
  mla: Taylor, J., et al. “Bound Excited States of Fröhlich Polarons in One Dimension.”
    <i>Physical Review B</i>, vol. 112, no. 18, 184312, American Physical Society,
    2025, doi:<a href="https://doi.org/10.1103/s9p9-jflq">10.1103/s9p9-jflq</a>.
  short: J. Taylor, M. Čufar, D.J. Mitrouskas, R. Seiringer, E. Pahl, J. Brand, Physical
    Review B 112 (2025).
date_created: 2026-02-17T07:56:20Z
date_published: 2025-11-18T00:00:00Z
date_updated: 2026-02-18T08:23:59Z
day: '18'
department:
- _id: RoSe
doi: 10.1103/s9p9-jflq
external_id:
  arxiv:
  - '2506.02440 '
intvolume: '       112'
issue: '18'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: 'https://doi.org/10.48550/arXiv.2506.02440 '
month: '11'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
  eissn:
  - 2469-9969
  issn:
  - 2469-9950
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bound excited states of Fröhlich polarons in one dimension
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 112
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21271'
abstract:
- lang: eng
  text: For general non-Hermitian large random matrices X and deterministic deformation
    matrices A, we prove that the local eigenvalue statistics of A+X close to the
    typical edge points of its spectrum are universal. Furthermore, we show that,
    under natural assumptions, on A the spectrum of A+X does not have outliers at
    a distance larger than the natural fluctuation scale of the eigenvalues. As a
    consequence, the number of eigenvalues in each component of Spec(A+X) is deterministic.
acknowledgement: The authors would like to thank the anonymous referee for providing
  helpful comments and suggestions. We also thank Joscha Henheik and Volodymyr Riabov
  for pointing out a gap in an earlier version of the proof of equation (3.18). The
  first, third, and fourth authors are supported by ERC Advanced Grant “RMTBeyond”
  No. 101020331.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Andrew J
  full_name: Campbell, Andrew J
  id: 582b06a9-1f1c-11ee-b076-82ffce00dde4
  last_name: Campbell
- first_name: Giorgio
  full_name: Cipolloni, Giorgio
  id: 42198EFA-F248-11E8-B48F-1D18A9856A87
  last_name: Cipolloni
  orcid: 0000-0002-4901-7992
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Hong Chang
  full_name: Ji, Hong Chang
  id: dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d
  last_name: Ji
citation:
  ama: Campbell AJ, Cipolloni G, Erdös L, Ji HC. On the spectral edge of non-Hermitian
    random matrices. <i>The Annals of Probability</i>. 2025;53(6):2256-2308. doi:<a
    href="https://doi.org/10.1214/25-aop1761">10.1214/25-aop1761</a>
  apa: Campbell, A. J., Cipolloni, G., Erdös, L., &#38; Ji, H. C. (2025). On the spectral
    edge of non-Hermitian random matrices. <i>The Annals of Probability</i>. Institute
    of Mathematical Statistics. <a href="https://doi.org/10.1214/25-aop1761">https://doi.org/10.1214/25-aop1761</a>
  chicago: Campbell, Andrew J, Giorgio Cipolloni, László Erdös, and Hong Chang Ji.
    “On the Spectral Edge of Non-Hermitian Random Matrices.” <i>The Annals of Probability</i>.
    Institute of Mathematical Statistics, 2025. <a href="https://doi.org/10.1214/25-aop1761">https://doi.org/10.1214/25-aop1761</a>.
  ieee: A. J. Campbell, G. Cipolloni, L. Erdös, and H. C. Ji, “On the spectral edge
    of non-Hermitian random matrices,” <i>The Annals of Probability</i>, vol. 53,
    no. 6. Institute of Mathematical Statistics, pp. 2256–2308, 2025.
  ista: Campbell AJ, Cipolloni G, Erdös L, Ji HC. 2025. On the spectral edge of non-Hermitian
    random matrices. The Annals of Probability. 53(6), 2256–2308.
  mla: Campbell, Andrew J., et al. “On the Spectral Edge of Non-Hermitian Random Matrices.”
    <i>The Annals of Probability</i>, vol. 53, no. 6, Institute of Mathematical Statistics,
    2025, pp. 2256–308, doi:<a href="https://doi.org/10.1214/25-aop1761">10.1214/25-aop1761</a>.
  short: A.J. Campbell, G. Cipolloni, L. Erdös, H.C. Ji, The Annals of Probability
    53 (2025) 2256–2308.
corr_author: '1'
date_created: 2026-02-17T07:58:20Z
date_published: 2025-11-01T00:00:00Z
date_updated: 2026-02-18T08:35:38Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/25-aop1761
ec_funded: 1
external_id:
  arxiv:
  - '2404.17512'
intvolume: '        53'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2404.17512
month: '11'
oa: 1
oa_version: Preprint
page: 2256-2308
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: The Annals of Probability
publication_identifier:
  eissn:
  - 2168-894X
  issn:
  - 0091-1798
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
status: public
title: On the spectral edge of non-Hermitian random matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 53
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21272'
abstract:
- lang: eng
  text: Finding the ground state of Ising spin glasses is notoriously difficult due
    to disorder and frustration. Often, this challenge is framed as a combinatorial
    optimization problem, for which a common strategy employs simulated annealing,
    a Monte Carlo (MC)-based algorithm that updates spins one at a time. Yet, these
    localized updates can cause the system to become trapped in local minima. Cluster
    algorithms (CAs) were developed to address this limitation and have demonstrated
    considerable success in studying ferromagnetic systems; however, they tend to
    encounter percolation issues when applied to generic spin glasses. In this work,
    we introduce a novel CA designed to tackle these challenges by leveraging precomputed
    two-point correlations, aiming solve combinatorial optimization problems in the
    form of Max-Cut more efficiently. In our approach, clusters are formed probabilistically
    based on these correlations. Various classical and quantum algorithms can be employed
    to generate correlations that embody information about the energy landscape of
    the problem. By utilizing this information, the algorithm aims to identify groups
    of spins whose simultaneous flipping induces large transitions in configuration
    space with high acceptance probability - even at low energy levels - thereby escaping
    local minima more effectively. Notably, clusters generated using correlations
    from the Quantum Approximate Optimization Algorithm exhibit high acceptance rates
    at low temperatures. These acceptance rates often increase with circuit depth,
    accelerating the algorithm and enabling more efficient exploration of the solution
    space.
acknowledgement: "P.J.E was partially funded by the German BMWK project QCHALLenge
  (Grant No. 01MQ22008B).\r\n"
article_processing_charge: No
arxiv: 1
author:
- first_name: Peter J.
  full_name: Eder, Peter J.
  last_name: Eder
- first_name: Aron
  full_name: Kerschbaumer, Aron
  id: ade85a9c-3200-11ee-973b-91c1eb240410
  last_name: Kerschbaumer
  orcid: 0009-0002-2370-8661
- first_name: Jernej Rudi
  full_name: Finžgar, Jernej Rudi
  last_name: Finžgar
- first_name: Raimel A
  full_name: Medina Ramos, Raimel A
  id: CE680B90-D85A-11E9-B684-C920E6697425
  last_name: Medina Ramos
  orcid: 0000-0002-5383-2869
- first_name: Martin J. A.
  full_name: Schuetz, Martin J. A.
  last_name: Schuetz
- first_name: Helmut G.
  full_name: Katzgraber, Helmut G.
  last_name: Katzgraber
- first_name: Sarah
  full_name: Braun, Sarah
  last_name: Braun
- first_name: Christian B.
  full_name: Mendl, Christian B.
  last_name: Mendl
citation:
  ama: 'Eder PJ, Kerschbaumer A, Finžgar JR, et al. Quantum-guided cluster algorithms
    for combinatorial optimization. In: <i>2025 IEEE International Conference on Quantum
    Computing and Engineering</i>. IEEE; 2025. doi:<a href="https://doi.org/10.1109/qce65121.2025.00033">10.1109/qce65121.2025.00033</a>'
  apa: 'Eder, P. J., Kerschbaumer, A., Finžgar, J. R., Medina Ramos, R. A., Schuetz,
    M. J. A., Katzgraber, H. G., … Mendl, C. B. (2025). Quantum-guided cluster algorithms
    for combinatorial optimization. In <i>2025 IEEE International Conference on Quantum
    Computing and Engineering</i>. Albuquerque, NM, United States: IEEE. <a href="https://doi.org/10.1109/qce65121.2025.00033">https://doi.org/10.1109/qce65121.2025.00033</a>'
  chicago: Eder, Peter J., Aron Kerschbaumer, Jernej Rudi Finžgar, Raimel A Medina
    Ramos, Martin J. A. Schuetz, Helmut G. Katzgraber, Sarah Braun, and Christian
    B. Mendl. “Quantum-Guided Cluster Algorithms for Combinatorial Optimization.”
    In <i>2025 IEEE International Conference on Quantum Computing and Engineering</i>.
    IEEE, 2025. <a href="https://doi.org/10.1109/qce65121.2025.00033">https://doi.org/10.1109/qce65121.2025.00033</a>.
  ieee: P. J. Eder <i>et al.</i>, “Quantum-guided cluster algorithms for combinatorial
    optimization,” in <i>2025 IEEE International Conference on Quantum Computing and
    Engineering</i>, Albuquerque, NM, United States, 2025.
  ista: 'Eder PJ, Kerschbaumer A, Finžgar JR, Medina Ramos RA, Schuetz MJA, Katzgraber
    HG, Braun S, Mendl CB. 2025. Quantum-guided cluster algorithms for combinatorial
    optimization. 2025 IEEE International Conference on Quantum Computing and Engineering.
    QCE: International Conference on Quantum Computing and Engineering.'
  mla: Eder, Peter J., et al. “Quantum-Guided Cluster Algorithms for Combinatorial
    Optimization.” <i>2025 IEEE International Conference on Quantum Computing and
    Engineering</i>, IEEE, 2025, doi:<a href="https://doi.org/10.1109/qce65121.2025.00033">10.1109/qce65121.2025.00033</a>.
  short: P.J. Eder, A. Kerschbaumer, J.R. Finžgar, R.A. Medina Ramos, M.J.A. Schuetz,
    H.G. Katzgraber, S. Braun, C.B. Mendl, in:, 2025 IEEE International Conference
    on Quantum Computing and Engineering, IEEE, 2025.
conference:
  end_date: 2025-09-05
  location: Albuquerque, NM, United States
  name: 'QCE: International Conference on Quantum Computing and Engineering'
  start_date: 2025-08-30
corr_author: '1'
date_created: 2026-02-17T08:00:17Z
date_published: 2025-09-01T00:00:00Z
date_updated: 2026-02-18T08:45:56Z
day: '01'
department:
- _id: MaSe
doi: 10.1109/qce65121.2025.00033
external_id:
  arxiv:
  - '2508.10656'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2508.10656
month: '09'
oa: 1
oa_version: Preprint
publication: 2025 IEEE International Conference on Quantum Computing and Engineering
publication_identifier:
  eisbn:
  - '9798331557362'
publication_status: published
publisher: IEEE
quality_controlled: '1'
status: public
title: Quantum-guided cluster algorithms for combinatorial optimization
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21280'
abstract:
- lang: eng
  text: We give an algorithm that, with high probability, maintains a (1-ε)-approximate
    s-t maximum flow in undirected, uncapacitated n-vertex graphs undergoing m edge
    insertions in Õ(m+ n F^*/ε) total update time, where F^{*} is the maximum flow
    on the final graph. This is the first algorithm to achieve polylogarithmic amortized
    update time for dense graphs (m = Ω(n²)), and more generally, for graphs where
    F^* = Õ(m/n). At the heart of our incremental algorithm is the residual graph
    sparsification technique of Karger and Levine [SICOMP '15], originally designed
    for computing exact maximum flows in the static setting. Our main contributions
    are (i) showing how to maintain such sparsifiers for approximate maximum flows
    in the incremental setting and (ii) generalizing the cut sparsification framework
    of Fung et al. [SICOMP '19] from undirected graphs to balanced directed graphs.
acknowledgement: "Monika Henzinger and A. R. Sricharan: This project has received
  funding from the European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation\r\nprogramme (MoDynStruct, No. 101019564) and the Austrian
  Science Fund (FWF) grant DOI\r\n10.55776/Z422, grant DOI 10.55776/I5982, and grant
  DOI 10.55776/P33775 with additional funding from the netidee SCIENCE Stiftung, 2020–2024.
  Harald Räcke: This project has received funding from the Deutsche Forschungsgemeinschaft
  (DFG, German Research Foundation) – 498605858 and 470029389."
alternative_title:
- LIPIcs
article_processing_charge: No
arxiv: 1
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: A.
  full_name: Sricharan, A.
  last_name: Sricharan
citation:
  ama: 'Goranci G, Henzinger M, Räcke H, Sricharan A. Incremental approximate maximum
    flow via residual graph sparsification. In: <i>52nd International Colloquium on
    Automata, Languages, and Programming</i>. Vol 334. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2025:91:1-91:20. doi:<a href="https://doi.org/10.4230/lipics.icalp.2025.91">10.4230/lipics.icalp.2025.91</a>'
  apa: 'Goranci, G., Henzinger, M., Räcke, H., &#38; Sricharan, A. (2025). Incremental
    approximate maximum flow via residual graph sparsification. In <i>52nd International
    Colloquium on Automata, Languages, and Programming</i> (Vol. 334, p. 91:1-91:20).
    Aarhus, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/lipics.icalp.2025.91">https://doi.org/10.4230/lipics.icalp.2025.91</a>'
  chicago: Goranci, Gramoz, Monika Henzinger, Harald Räcke, and A. Sricharan. “Incremental
    Approximate Maximum Flow via Residual Graph Sparsification.” In <i>52nd International
    Colloquium on Automata, Languages, and Programming</i>, 334:91:1-91:20. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2025. <a href="https://doi.org/10.4230/lipics.icalp.2025.91">https://doi.org/10.4230/lipics.icalp.2025.91</a>.
  ieee: G. Goranci, M. Henzinger, H. Räcke, and A. Sricharan, “Incremental approximate
    maximum flow via residual graph sparsification,” in <i>52nd International Colloquium
    on Automata, Languages, and Programming</i>, Aarhus, Denmark, 2025, vol. 334,
    p. 91:1-91:20.
  ista: 'Goranci G, Henzinger M, Räcke H, Sricharan A. 2025. Incremental approximate
    maximum flow via residual graph sparsification. 52nd International Colloquium
    on Automata, Languages, and Programming. ICALP: Automata, Languages and Programming,
    LIPIcs, vol. 334, 91:1-91:20.'
  mla: Goranci, Gramoz, et al. “Incremental Approximate Maximum Flow via Residual
    Graph Sparsification.” <i>52nd International Colloquium on Automata, Languages,
    and Programming</i>, vol. 334, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2025, p. 91:1-91:20, doi:<a href="https://doi.org/10.4230/lipics.icalp.2025.91">10.4230/lipics.icalp.2025.91</a>.
  short: G. Goranci, M. Henzinger, H. Räcke, A. Sricharan, in:, 52nd International
    Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2025, p. 91:1-91:20.
conference:
  end_date: 2025-07-11
  location: Aarhus, Denmark
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2025-07-08
corr_author: '1'
date_created: 2026-02-17T08:26:06Z
date_published: 2025-06-30T00:00:00Z
date_updated: 2026-02-18T09:06:12Z
day: '30'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/lipics.icalp.2025.91
ec_funded: 1
external_id:
  arxiv:
  - '2502.09105'
file:
- access_level: open_access
  checksum: c178cf554e44204b9f64ebd9b54cf7ba
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-18T09:02:33Z
  date_updated: 2026-02-18T09:02:33Z
  file_id: '21315'
  file_name: 2025_ICALP_Goranci.pdf
  file_size: 944824
  relation: main_file
  success: 1
file_date_updated: 2026-02-18T09:02:33Z
has_accepted_license: '1'
intvolume: '       334'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 91:1-91:20
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
  call_identifier: H2020
  grant_number: '101019564'
  name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
  grant_number: Z00422
  name: Efficient algorithms
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: P33775
  name: Fast Algorithms for a Reactive Network Layer
publication: 52nd International Colloquium on Automata, Languages, and Programming
publication_identifier:
  isbn:
  - '9783959773720'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Incremental approximate maximum flow via residual graph sparsification
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 334
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21281'
abstract:
- lang: eng
  text: "A strategy profile in a multi-player game is a Nash equilibrium if no player
    can unilaterally deviate to achieve a strictly better payoff. A profile is an
    ε-Nash equilibrium if no player can gain more than ε by unilaterally deviating
    from their strategy. In this work, we use ε-Nash equilibria to approximate the
    computation of Nash equilibria. Specifically, we focus on turn-based, multiplayer
    stochastic games played on graphs, where players are restricted to stationary
    strategies - strategies that use randomness but not memory.\r\nThe problem of
    deciding the constrained existence of stationary Nash equilibria - where each
    player’s payoff must lie within a given interval - is known to be ∃ℝ-complete
    in such a setting (Hansen and Sølvsten, 2020). We extend this line of work to
    stationary ε-Nash equilibria and present an algorithm that solves the following
    promise problem: given a game with a Nash equilibrium satisfying the constraints,
    compute an ε-Nash equilibrium that ε-satisfies those same constraints - satisfies
    the constraints up to an ε additive error. Our algorithm runs in FNP^NP time.\r\nTo
    achieve this, we first show that if a constrained Nash equilibrium exists, then
    one exists where the non-zero probabilities are at least an inverse of a double-exponential
    in the input. We further prove that such a strategy can be encoded using floating-point
    representations, as in the work of Frederiksen and Miltersen (2013), which finally
    gives us our FNP^NP algorithm. \r\nWe further show that the decision version of
    the promise problem is NP-hard. Finally, we show a partial tightness result by
    proving a lower bound for such techniques: if a constrained Nash equilibrium exists,
    then there must be one where the probabilities in the strategies are double-exponentially
    small."
acknowledgement: "This work is a part of project VAMOS that has received funding from
  the European\r\nResearch Council (ERC), grant agreement No 101020093.\r\n"
alternative_title:
- LIPIcs
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Ali
  full_name: Asadi, Ali
  id: 02d96aae-000e-11ec-b801-cadd0a5eefbb
  last_name: Asadi
- first_name: Leonard
  full_name: Brice, Leonard
  last_name: Brice
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: K. S.
  full_name: Thejaswini, K. S.
  id: 3807fb92-fdc1-11ee-bb4a-b4d8a431c753
  last_name: Thejaswini
citation:
  ama: 'Asadi A, Brice L, Chatterjee K, Thejaswini KS. ε-stationary Nash equilibria
    in multi-player stochastic graph games. In: <i>45th Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science</i>. Vol 360. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2025:9:1-9:17. doi:<a href="https://doi.org/10.4230/lipics.fsttcs.2025.9">10.4230/lipics.fsttcs.2025.9</a>'
  apa: 'Asadi, A., Brice, L., Chatterjee, K., &#38; Thejaswini, K. S. (2025). ε-stationary
    Nash equilibria in multi-player stochastic graph games. In <i>45th Annual Conference
    on Foundations of Software Technology and Theoretical Computer Science</i> (Vol.
    360, p. 9:1-9:17). Pilani, India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/lipics.fsttcs.2025.9">https://doi.org/10.4230/lipics.fsttcs.2025.9</a>'
  chicago: Asadi, Ali, Leonard Brice, Krishnendu Chatterjee, and K. S. Thejaswini.
    “ε-Stationary Nash Equilibria in Multi-Player Stochastic Graph Games.” In <i>45th
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science</i>, 360:9:1-9:17. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2025. <a href="https://doi.org/10.4230/lipics.fsttcs.2025.9">https://doi.org/10.4230/lipics.fsttcs.2025.9</a>.
  ieee: A. Asadi, L. Brice, K. Chatterjee, and K. S. Thejaswini, “ε-stationary Nash
    equilibria in multi-player stochastic graph games,” in <i>45th Annual Conference
    on Foundations of Software Technology and Theoretical Computer Science</i>, Pilani,
    India, 2025, vol. 360, p. 9:1-9:17.
  ista: 'Asadi A, Brice L, Chatterjee K, Thejaswini KS. 2025. ε-stationary Nash equilibria
    in multi-player stochastic graph games. 45th Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science. FSTTCS: Conference on
    Foundations of Software Technology and Theoretical Computer Science, LIPIcs, vol.
    360, 9:1-9:17.'
  mla: Asadi, Ali, et al. “ε-Stationary Nash Equilibria in Multi-Player Stochastic
    Graph Games.” <i>45th Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science</i>, vol. 360, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2025, p. 9:1-9:17, doi:<a href="https://doi.org/10.4230/lipics.fsttcs.2025.9">10.4230/lipics.fsttcs.2025.9</a>.
  short: A. Asadi, L. Brice, K. Chatterjee, K.S. Thejaswini, in:, 45th Annual Conference
    on Foundations of Software Technology and Theoretical Computer Science, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2025, p. 9:1-9:17.
conference:
  end_date: 2025-12-19
  location: Pilani, India
  name: 'FSTTCS: Conference on Foundations of Software Technology and Theoretical
    Computer Science'
  start_date: 2025-12-17
corr_author: '1'
date_created: 2026-02-17T08:27:14Z
date_published: 2025-12-09T00:00:00Z
date_updated: 2026-02-19T09:39:15Z
day: '09'
ddc:
- '000'
department:
- _id: KrCh
- _id: GradSch
doi: 10.4230/lipics.fsttcs.2025.9
ec_funded: 1
external_id:
  arxiv:
  - '2508.15356'
file:
- access_level: open_access
  checksum: a66343e3ccc4a9cc5bc699c03d5764ff
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-18T09:13:25Z
  date_updated: 2026-02-18T09:13:25Z
  file_id: '21316'
  file_name: 2025_FSTTCS_Asadi.pdf
  file_size: 1054007
  relation: main_file
  success: 1
file_date_updated: 2026-02-18T09:13:25Z
has_accepted_license: '1'
intvolume: '       360'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 9:1-9:17
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 45th Annual Conference on Foundations of Software Technology and Theoretical
  Computer Science
publication_identifier:
  isbn:
  - '9783959774062'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
status: public
title: ε-stationary Nash equilibria in multi-player stochastic graph games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 360
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21317'
abstract:
- lang: eng
  text: Accreting white dwarfs (WDs) in close binary systems, commonly known as cataclysmic
    variables (CVs), with orbital periods below the canonical period minimum (≈80
    minutes) are rare. Such short periods can only be reached if the donor star in
    the CV is either significantly evolved before initiating mass transfer to the
    WD or is metal-poor. We present optical photometry and spectroscopy of Gaia19bxc,
    a high-amplitude variable identified as a polar CV with an exceptionally short
    orbital period of 64.42 minutes—well below the canonical CV period minimum. High-speed
    photometry confirms persistent double-peaked variability consistent with cyclotron
    beaming, thus indicating the presence of a magnetic WD. Phase-resolved Keck/Low-Resolution
    Imaging Spectrometer (LRIS) spectroscopy reveals strong hydrogen and helium emission
    lines but no donor features, indicating the accretor is a magnetic WD and the
    donor is hydrogen-rich, but cold and faint. The absence of a detectable donor
    and the low inferred temperature (≲3500 K) disfavor an evolved donor scenario.
    Instead, the short period and the system’s halo-like kinematics suggest Gaia19bxc
    may be the first known metal-poor polar. Because metal-poor donors are more compact
    than solar-metallicity donors of the same mass, they can reach shorter minimum
    periods. Gaia19bxc is one of only a handful of known metal-poor CVs below the
    canonical period minimum and has the shortest period of any such magnetic system
    discovered to date.
acknowledgement: "Based on observations obtained with the Samuel Oschin Telescope
  48 inch and the 60 inch Telescope at the Palomar Observatory as part of the Zwicky
  Transient Facility project. ZTF is supported by the National Science Foundation
  under grants No. AST-1440341 and AST-2034437 and a collaboration including current
  partners Caltech, IPAC, the Weizmann Institute of Science, the Oskar Klein Center
  at Stockholm University, the University of Maryland, Deutsches Elektronen-Synchrotron
  and Humboldt University, the TANGO Consortium of Taiwan, the University of Wisconsin
  at Milwaukee, Trinity College Dublin, Lawrence Livermore National Laboratories,
  IN2P3, University of Warwick, Ruhr University Bochum, Northwestern University and
  former partners the University of Washington, Los Alamos National Laboratories,
  and Lawrence Berkeley National Laboratories. Operations are conducted by COO, IPAC,
  and UW. This work has made use of data from the European Space Agency (ESA) mission
  Gaia (https://www.cosmos.esa.int/gaia), processed by the Gaia Data Processing and
  Analysis Consortium (DPAC; https://www.cosmos.esa.int/web/gaia/dpac/consortium).
  Funding for the DPAC has been provided by national institutions, in particular the
  institutions participating in the Gaia Multilateral Agreement. Some of the data
  presented herein were obtained at Keck Observatory, which is a private 501(c)3 nonprofit
  organization operated as a scientific partnership among the California Institute
  of Technology, the University of California, and the National Aeronautics and Space
  Administration. The Observatory was made possible by the generous financial support
  of the W. M. Keck Foundation. We wish to recognize and acknowledge the very significant
  cultural role and reverence that the summit of Maunakea has always had within the
  Native Hawaiian community. We are most fortunate to have had the opportunity to
  conduct observations from this mountain. We are grateful to the staff of the Palomar
  and Keck Observatories for their work in helping us carry out our observations.\r\n\r\nI.G.
  acknowledges support from Kazan Federal University. A.C.R. acknowledges support
  from the National Science Foundation via an NSF Graduate Research Fellowship. We
  thank the anonymous referee for useful comments and suggestions, which contributed
  to the improvement of this manuscript."
article_number: L57
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Ilkham
  full_name: Galiullin, Ilkham
  last_name: Galiullin
- first_name: Antonio C.
  full_name: Rodriguez, Antonio C.
  last_name: Rodriguez
- first_name: Kareem
  full_name: El-Badry, Kareem
  last_name: El-Badry
- first_name: Ilaria
  full_name: Caiazzo, Ilaria
  id: 8ae5b6e7-2a03-11ee-914d-b58ed7a3b47d
  last_name: Caiazzo
  orcid: 0000-0002-4770-5388
- first_name: Paula
  full_name: Szkody, Paula
  last_name: Szkody
- first_name: Pranav
  full_name: Nagarajan, Pranav
  last_name: Nagarajan
- first_name: Samuel
  full_name: Whitebook, Samuel
  last_name: Whitebook
citation:
  ama: Galiullin I, Rodriguez AC, El-Badry K, et al. Optical spectroscopy of the most
    compact accreting binary harboring a magnetic White Dwarf and a hydrogen-rich
    donor. <i>The Astrophysical Journal Letters</i>. 2025;990(2). doi:<a href="https://doi.org/10.3847/2041-8213/adff82">10.3847/2041-8213/adff82</a>
  apa: Galiullin, I., Rodriguez, A. C., El-Badry, K., Caiazzo, I., Szkody, P., Nagarajan,
    P., &#38; Whitebook, S. (2025). Optical spectroscopy of the most compact accreting
    binary harboring a magnetic White Dwarf and a hydrogen-rich donor. <i>The Astrophysical
    Journal Letters</i>. IOP Publishing. <a href="https://doi.org/10.3847/2041-8213/adff82">https://doi.org/10.3847/2041-8213/adff82</a>
  chicago: Galiullin, Ilkham, Antonio C. Rodriguez, Kareem El-Badry, Ilaria Caiazzo,
    Paula Szkody, Pranav Nagarajan, and Samuel Whitebook. “Optical Spectroscopy of
    the Most Compact Accreting Binary Harboring a Magnetic White Dwarf and a Hydrogen-Rich
    Donor.” <i>The Astrophysical Journal Letters</i>. IOP Publishing, 2025. <a href="https://doi.org/10.3847/2041-8213/adff82">https://doi.org/10.3847/2041-8213/adff82</a>.
  ieee: I. Galiullin <i>et al.</i>, “Optical spectroscopy of the most compact accreting
    binary harboring a magnetic White Dwarf and a hydrogen-rich donor,” <i>The Astrophysical
    Journal Letters</i>, vol. 990, no. 2. IOP Publishing, 2025.
  ista: Galiullin I, Rodriguez AC, El-Badry K, Caiazzo I, Szkody P, Nagarajan P, Whitebook
    S. 2025. Optical spectroscopy of the most compact accreting binary harboring a
    magnetic White Dwarf and a hydrogen-rich donor. The Astrophysical Journal Letters.
    990(2), L57.
  mla: Galiullin, Ilkham, et al. “Optical Spectroscopy of the Most Compact Accreting
    Binary Harboring a Magnetic White Dwarf and a Hydrogen-Rich Donor.” <i>The Astrophysical
    Journal Letters</i>, vol. 990, no. 2, L57, IOP Publishing, 2025, doi:<a href="https://doi.org/10.3847/2041-8213/adff82">10.3847/2041-8213/adff82</a>.
  short: I. Galiullin, A.C. Rodriguez, K. El-Badry, I. Caiazzo, P. Szkody, P. Nagarajan,
    S. Whitebook, The Astrophysical Journal Letters 990 (2025).
date_created: 2026-02-18T10:17:04Z
date_published: 2025-09-08T00:00:00Z
date_updated: 2026-02-19T07:27:01Z
day: '08'
ddc:
- '520'
department:
- _id: IlCa
doi: 10.3847/2041-8213/adff82
external_id:
  arxiv:
  - '2508.20170'
file:
- access_level: open_access
  checksum: f76556d129aa0e9facc85602b0b5b54d
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T07:24:10Z
  date_updated: 2026-02-19T07:24:10Z
  file_id: '21329'
  file_name: 2025_AstrophysicalJournal_Galiullin.pdf
  file_size: 3772189
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T07:24:10Z
has_accepted_license: '1'
intvolume: '       990'
issue: '2'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: The Astrophysical Journal Letters
publication_identifier:
  eissn:
  - 2041-8213
  issn:
  - 2041-8205
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optical spectroscopy of the most compact accreting binary harboring a magnetic
  White Dwarf and a hydrogen-rich donor
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 990
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21318'
abstract:
- lang: eng
  text: Matter waves have been observed in double-slit experiments with microscopic
    objects, such as atoms or molecules. The wave function describing the motion of
    these objects must extend over a distance comparable to the slit separation, much
    larger than the characteristic size of the objects. Preparing such states for
    more massive objects, such as mechanical oscillators, remains an outstanding challenge.
    Here we delocalize the quantum ground state of an optically levitated nanosphere
    by modulating the stiffness of the confining potential. We show a more than threefold
    increase of the initial coherence length, which corresponds to mechanical momentum
    squeezing of more than 7 dB. Our work is a stepping stone toward the generation
    of coherence lengths comparable to the object size, a crucial regime for macroscopic
    quantum experiments.
article_number: '083601'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: M.
  full_name: Rossi, M.
  last_name: Rossi
- first_name: Andrei
  full_name: Militaru, Andrei
  id: d67706f8-8eb1-11ee-ad1b-9c30dfa19e0b
  last_name: Militaru
- first_name: N.
  full_name: Carlon Zambon, N.
  last_name: Carlon Zambon
- first_name: A.
  full_name: Riera-Campeny, A.
  last_name: Riera-Campeny
- first_name: O.
  full_name: Romero-Isart, O.
  last_name: Romero-Isart
- first_name: M.
  full_name: Frimmer, M.
  last_name: Frimmer
- first_name: L.
  full_name: Novotny, L.
  last_name: Novotny
citation:
  ama: Rossi M, Militaru A, Carlon Zambon N, et al. Quantum delocalization of a levitated
    nanoparticle. <i>Physical Review Letters</i>. 2025;135(8). doi:<a href="https://doi.org/10.1103/2yzc-fsm3">10.1103/2yzc-fsm3</a>
  apa: Rossi, M., Militaru, A., Carlon Zambon, N., Riera-Campeny, A., Romero-Isart,
    O., Frimmer, M., &#38; Novotny, L. (2025). Quantum delocalization of a levitated
    nanoparticle. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/2yzc-fsm3">https://doi.org/10.1103/2yzc-fsm3</a>
  chicago: Rossi, M., Andrei Militaru, N. Carlon Zambon, A. Riera-Campeny, O. Romero-Isart,
    M. Frimmer, and L. Novotny. “Quantum Delocalization of a Levitated Nanoparticle.”
    <i>Physical Review Letters</i>. American Physical Society, 2025. <a href="https://doi.org/10.1103/2yzc-fsm3">https://doi.org/10.1103/2yzc-fsm3</a>.
  ieee: M. Rossi <i>et al.</i>, “Quantum delocalization of a levitated nanoparticle,”
    <i>Physical Review Letters</i>, vol. 135, no. 8. American Physical Society, 2025.
  ista: Rossi M, Militaru A, Carlon Zambon N, Riera-Campeny A, Romero-Isart O, Frimmer
    M, Novotny L. 2025. Quantum delocalization of a levitated nanoparticle. Physical
    Review Letters. 135(8), 083601.
  mla: Rossi, M., et al. “Quantum Delocalization of a Levitated Nanoparticle.” <i>Physical
    Review Letters</i>, vol. 135, no. 8, 083601, American Physical Society, 2025,
    doi:<a href="https://doi.org/10.1103/2yzc-fsm3">10.1103/2yzc-fsm3</a>.
  short: M. Rossi, A. Militaru, N. Carlon Zambon, A. Riera-Campeny, O. Romero-Isart,
    M. Frimmer, L. Novotny, Physical Review Letters 135 (2025).
date_created: 2026-02-18T10:19:30Z
date_published: 2025-08-19T00:00:00Z
date_updated: 2026-02-24T07:03:57Z
day: '19'
department:
- _id: JoFi
doi: 10.1103/2yzc-fsm3
external_id:
  arxiv:
  - '2408.01264'
  pmid:
  - '40929305'
intvolume: '       135'
issue: '8'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2408.01264
month: '08'
oa: 1
oa_version: Preprint
pmid: 1
publication: Physical Review Letters
publication_identifier:
  eissn:
  - 1079-7114
  issn:
  - 0031-9007
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
status: public
title: Quantum delocalization of a levitated nanoparticle
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 135
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21320'
abstract:
- lang: eng
  text: "Prophet inequalities are a central object of study in optimal stopping theory.
    In the iid model, a gambler sees values in an online fashion, sampled independently
    from a given distribution. Upon observing each value, the gambler either accepts
    it as a reward, or irrevocably rejects it and proceeds to observe the next value.
    The goal of the gambler, who cannot see the future, is to maximise the expected
    value of the reward while competing against the expectation of a prophet (the
    offline maximum). In other words, one seeks to maximise the gambler-to-prophet
    ratio of the expectations. \r\nThis model has been studied with infinite, finite
    and unknown number of values. When the gambler faces a random number of values,
    the model is said to have a random horizon. We consider the model in which the
    gambler is given a priori knowledge of the horizon’s distribution. Alijani et
    al. (2020) designed a single-threshold algorithm achieving a ratio of 1/2 when
    the random horizon has an increasing hazard rate and is independent of the values.
    We prove that with a single threshold, a ratio of 1/2 is actually achievable for
    several larger classes of horizon distributions, with the largest being known
    as the \U0001D4A2 class in reliability theory. Moreover, we show that this does
    not extend to its dual, the  ̅\U0001D4A2 class (which includes the decreasing
    hazard rate class), while it can be extended to low-variance horizons. Finally,
    we construct the first example of a family of horizons, for which multiple thresholds
    are necessary to achieve a nonzero ratio. We establish that the Secretary Problem
    optimal stopping rule provides one such algorithm, paving the way towards the
    study of the model beyond single-threshold algorithms."
acknowledgement: 'We would like to thank José Correa for his precious advice, Bruno
  Ziliotto and Vasilis Livanos for early conversations. Giambartolomei, Giordano:
  EPSRC grants EP/W005573/1 and EP/X021696/1. Mallmann-Trenn, Frederik: EPSRC grant
  EP/W005573/1. Saona, Raimundo: ERC grant CoG 863818 (ForM-SMArt), ANID Chile grant
  ACT210005, French Agence Nationale de la Recherche (ANR) grant ANR-21-CE40-0020
  (CONVERGENCE), and Austrian Science Fund (FWF) grant 10.55776/COE12.'
alternative_title:
- LIPIcs
article_processing_charge: No
arxiv: 1
author:
- first_name: Giordano
  full_name: Giambartolomei, Giordano
  last_name: Giambartolomei
- first_name: Frederik
  full_name: Mallmann-Trenn, Frederik
  last_name: Mallmann-Trenn
- first_name: Raimundo J
  full_name: Saona Urmeneta, Raimundo J
  id: BD1DF4C4-D767-11E9-B658-BC13E6697425
  last_name: Saona Urmeneta
  orcid: 0000-0001-5103-038X
citation:
  ama: 'Giambartolomei G, Mallmann-Trenn F, Saona Urmeneta RJ. IID prophet inequality
    with random horizon: Going beyond increasing hazard rates. In: <i>52nd International
    Colloquium on Automata, Languages, and Programming</i>. Vol 334. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2025. doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2025.87">10.4230/LIPIcs.ICALP.2025.87</a>'
  apa: 'Giambartolomei, G., Mallmann-Trenn, F., &#38; Saona Urmeneta, R. J. (2025).
    IID prophet inequality with random horizon: Going beyond increasing hazard rates.
    In <i>52nd International Colloquium on Automata, Languages, and Programming</i>
    (Vol. 334). Aarhus, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.ICALP.2025.87">https://doi.org/10.4230/LIPIcs.ICALP.2025.87</a>'
  chicago: 'Giambartolomei, Giordano, Frederik Mallmann-Trenn, and Raimundo J Saona
    Urmeneta. “IID Prophet Inequality with Random Horizon: Going beyond Increasing
    Hazard Rates.” In <i>52nd International Colloquium on Automata, Languages, and
    Programming</i>, Vol. 334. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2025. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2025.87">https://doi.org/10.4230/LIPIcs.ICALP.2025.87</a>.'
  ieee: 'G. Giambartolomei, F. Mallmann-Trenn, and R. J. Saona Urmeneta, “IID prophet
    inequality with random horizon: Going beyond increasing hazard rates,” in <i>52nd
    International Colloquium on Automata, Languages, and Programming</i>, Aarhus,
    Denmark, 2025, vol. 334.'
  ista: 'Giambartolomei G, Mallmann-Trenn F, Saona Urmeneta RJ. 2025. IID prophet
    inequality with random horizon: Going beyond increasing hazard rates. 52nd International
    Colloquium on Automata, Languages, and Programming. ICALP: Automata, Languages
    and Programming, LIPIcs, vol. 334.'
  mla: 'Giambartolomei, Giordano, et al. “IID Prophet Inequality with Random Horizon:
    Going beyond Increasing Hazard Rates.” <i>52nd International Colloquium on Automata,
    Languages, and Programming</i>, vol. 334, Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2025, doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2025.87">10.4230/LIPIcs.ICALP.2025.87</a>.'
  short: G. Giambartolomei, F. Mallmann-Trenn, R.J. Saona Urmeneta, in:, 52nd International
    Colloquium on Automata, Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2025.
conference:
  end_date: 2025-07-11
  location: Aarhus, Denmark
  name: 'ICALP: Automata, Languages and Programming'
  start_date: 2025-07-08
date_created: 2026-02-18T10:44:14Z
date_published: 2025-06-30T00:00:00Z
date_updated: 2026-02-19T07:43:29Z
day: '30'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.ICALP.2025.87
ec_funded: 1
external_id:
  arxiv:
  - '2407.11752'
file:
- access_level: open_access
  checksum: 960110956c26a5cefadde8e47888bfbe
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T07:41:55Z
  date_updated: 2026-02-19T07:41:55Z
  file_id: '21331'
  file_name: 2025_ICALP_Giambartolomei.pdf
  file_size: 876167
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T07:41:55Z
has_accepted_license: '1'
intvolume: '       334'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 52nd International Colloquium on Automata, Languages, and Programming
publication_identifier:
  isbn:
  - '9783959773720'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
status: public
title: 'IID prophet inequality with random horizon: Going beyond increasing hazard
  rates'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 334
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
PlanS_conform: '1'
_id: '21321'
abstract:
- lang: eng
  text: 'The development of cost-effective and high-performance thermoelectric (TE)
    materials faces significant challenges, particularly in improving the properties
    of promising copper-based TE materials such as Cu3SbSe4, which are limited by
    their poor electrical conductivity. This study presents a detailed comparative
    analysis of three strategies to promote the electrical transport properties of
    Cu3SbSe4 through Sn doping: conventional Sn atomic doping, surface treatment with
    SnSe molecular complexes, and blending with SnSe nanocrystals to form nanocomposites,
    all followed by annealing and hot pressing under identical conditions. Our results
    reveal that a surface treatment using SnSe molecular complexes significantly enhances
    TE performance over atomic doping and nanocomposite formation, achieving a power
    factor of 1.1 mW·m−1·K−2 and a maximum dimensionless figure of merit zT value
    of 0.80 at 640 K, representing an excellent performance among Cu3SbSe4-based materials
    produced via solution-processing methods. This work highlights the effectiveness
    of surface engineering in optimizing the transport properties of nanostructured
    materials, demonstrating the versatility and cost-efficiency of solution-based
    technologies in the development of advanced nanostructured materials for application
    in the field of TE among others.'
acknowledgement: Y. L. acknowledges funding from the National Natural Science Foundation
  of China (No. 22209034), the Innovation and Entrepreneurship Project of Overseas
  Returnees in Anhui Province (No. 2022LCX002), and the Fundamental Research Funds
  for the Central Universities (No. JZ2024HGTB0239). K. H. L. acknowledges financial
  support from the National Natural Science Foundation of China (No. 22208293). M.
  I. acknowledge financial support from ISTA and the Werner Siemens Foundation. M.
  H. acknowledges funding from Australian Research Council (No. FT230100316). L. L.
  H. and S. H. W. acknowledge the Fundamental Research Funds for the Central Universities
  (Nos. JZ2023HGTA0179 and JZ2024HGTA0170).
article_number: '94907072'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Shanshan
  full_name: Xiao, Shanshan
  last_name: Xiao
- first_name: Mingjun
  full_name: Zhao, Mingjun
  last_name: Zhao
- first_name: Mingquan
  full_name: Li, Mingquan
  last_name: Li
- first_name: Shanhong
  full_name: Wan, Shanhong
  last_name: Wan
- first_name: Aziz
  full_name: Genç, Aziz
  last_name: Genç
- first_name: Lulu
  full_name: Huang, Lulu
  last_name: Huang
- first_name: Lei
  full_name: Chen, Lei
  last_name: Chen
- first_name: Yu
  full_name: Zhang, Yu
  last_name: Zhang
- first_name: Maria
  full_name: Ibáñez, Maria
  id: 43C61214-F248-11E8-B48F-1D18A9856A87
  last_name: Ibáñez
  orcid: 0000-0001-5013-2843
- first_name: Khak Ho
  full_name: Lim, Khak Ho
  last_name: Lim
- first_name: Min
  full_name: Hong, Min
  last_name: Hong
- first_name: Yu
  full_name: Liu, Yu
  last_name: Liu
- first_name: Andreu
  full_name: Cabot, Andreu
  last_name: Cabot
citation:
  ama: 'Xiao S, Zhao M, Li M, et al. Band and defect engineering in solution-processed
    nanocrystal building blocks to promote transport properties in nanomaterials:
    The case of thermoelectric Cu            <sub>3</sub>SbSe            <sub>4</sub>.
    <i>Nano Research</i>. 2025;18(1). doi:<a href="https://doi.org/10.26599/nr.2025.94907072">10.26599/nr.2025.94907072</a>'
  apa: 'Xiao, S., Zhao, M., Li, M., Wan, S., Genç, A., Huang, L., … Cabot, A. (2025).
    Band and defect engineering in solution-processed nanocrystal building blocks
    to promote transport properties in nanomaterials: The case of thermoelectric Cu 
              <sub>3</sub>SbSe            <sub>4</sub>. <i>Nano Research</i>. Tsinghua
    University Press. <a href="https://doi.org/10.26599/nr.2025.94907072">https://doi.org/10.26599/nr.2025.94907072</a>'
  chicago: 'Xiao, Shanshan, Mingjun Zhao, Mingquan Li, Shanhong Wan, Aziz Genç, Lulu
    Huang, Lei Chen, et al. “Band and Defect Engineering in Solution-Processed Nanocrystal
    Building Blocks to Promote Transport Properties in Nanomaterials: The Case of
    Thermoelectric Cu            <sub>3</sub>SbSe            <sub>4</sub>.” <i>Nano
    Research</i>. Tsinghua University Press, 2025. <a href="https://doi.org/10.26599/nr.2025.94907072">https://doi.org/10.26599/nr.2025.94907072</a>.'
  ieee: 'S. Xiao <i>et al.</i>, “Band and defect engineering in solution-processed
    nanocrystal building blocks to promote transport properties in nanomaterials:
    The case of thermoelectric Cu            <sub>3</sub>SbSe            <sub>4</sub>,”
    <i>Nano Research</i>, vol. 18, no. 1. Tsinghua University Press, 2025.'
  ista: 'Xiao S, Zhao M, Li M, Wan S, Genç A, Huang L, Chen L, Zhang Y, Ibáñez M,
    Lim KH, Hong M, Liu Y, Cabot A. 2025. Band and defect engineering in solution-processed
    nanocrystal building blocks to promote transport properties in nanomaterials:
    The case of thermoelectric Cu            <sub>3</sub>SbSe            <sub>4</sub>.
    Nano Research. 18(1), 94907072.'
  mla: 'Xiao, Shanshan, et al. “Band and Defect Engineering in Solution-Processed
    Nanocrystal Building Blocks to Promote Transport Properties in Nanomaterials:
    The Case of Thermoelectric Cu            <sub>3</sub>SbSe            <sub>4</sub>.”
    <i>Nano Research</i>, vol. 18, no. 1, 94907072, Tsinghua University Press, 2025,
    doi:<a href="https://doi.org/10.26599/nr.2025.94907072">10.26599/nr.2025.94907072</a>.'
  short: S. Xiao, M. Zhao, M. Li, S. Wan, A. Genç, L. Huang, L. Chen, Y. Zhang, M.
    Ibáñez, K.H. Lim, M. Hong, Y. Liu, A. Cabot, Nano Research 18 (2025).
date_created: 2026-02-18T10:45:06Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2026-02-19T07:32:22Z
day: '01'
ddc:
- '540'
department:
- _id: MaIb
doi: 10.26599/nr.2025.94907072
file:
- access_level: open_access
  checksum: aa531f1363538fece12ecfad83456b65
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T07:31:15Z
  date_updated: 2026-02-19T07:31:15Z
  file_id: '21330'
  file_name: 2025_NanoResearch_Xiao.pdf
  file_size: 27740524
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T07:31:15Z
has_accepted_license: '1'
intvolume: '        18'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 9B8F7476-BA93-11EA-9121-9846C619BF3A
  name: 'HighTE: The Werner Siemens Laboratory for the High Throughput Discovery of
    Semiconductors for Waste Heat Recovery'
publication: Nano Research
publication_identifier:
  eissn:
  - 1998-0000
  issn:
  - 1998-0124
publication_status: published
publisher: Tsinghua University Press
status: public
title: 'Band and defect engineering in solution-processed nanocrystal building blocks
  to promote transport properties in nanomaterials: The case of thermoelectric Cu            <sub>3</sub>SbSe            <sub>4</sub>'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '21323'
abstract:
- lang: eng
  text: We present a unifying framework for proving the knowledge-soundness of KZG-like
    polynomial commitment schemes, encompassing both univariate and multivariate variants.
    By conceptualizing the proof technique of Lipmaa, Parisella, and Siim for the
    univariate KZG scheme (EUROCRYPT 2024), we present tools and falsifiable hardness
    assumptions that permit black-box extraction of the multivariate KZG scheme. Central
    to our approach is the notion of a canonical Proof-of-Knowledge of a Polynomial
    (PoKoP) of a polynomial commitment scheme, which we use to capture the extractability
    notion required in constructions of practical zk-SNARKs. We further present an
    explicit polynomial decomposition lemma for multivariate polynomials, enabling
    a more direct analysis of interpolating extractors and bridging the gap between
    univariate and multivariate commitments. Our results provide the first standard-model
    proofs of extractability for the multivariate KZG scheme and many of its variants
    under falsifiable assumptions.
acknowledgement: Juraj Belohorec, Pavel Hubáček, and Kristýna Mašková were partially
  supported by the Academy of Sciences of the Czech Republic (RVO 67985840), Czech
  Science Foundation GAČR grant No. 25-16311S, and by Zircuit. Pavel Dvořák was supported
  by Czech Science Foundation GAČR grant No. 22-14872O. Juraj Belohorec and Kristýna
  Mašková were supported by the grant SVV–2025–260822.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Juraj
  full_name: Belohorec, Juraj
  last_name: Belohorec
- first_name: Pavel
  full_name: Dvořák, Pavel
  last_name: Dvořák
- first_name: Charlotte
  full_name: Hoffmann, Charlotte
  id: 0f78d746-dc7d-11ea-9b2f-83f92091afe7
  last_name: Hoffmann
  orcid: 0000-0003-2027-5549
- first_name: Pavel
  full_name: Hubáček, Pavel
  last_name: Hubáček
- first_name: Kristýna
  full_name: Mašková, Kristýna
  last_name: Mašková
- first_name: Martin
  full_name: Pastyřík, Martin
  last_name: Pastyřík
citation:
  ama: 'Belohorec J, Dvořák P, Hoffmann C, Hubáček P, Mašková K, Pastyřík M. On extractability
    of the KZG family of polynomial commitment schemes. In: <i>45th Annual International
    Cryptology Conference</i>. Vol 16005. Springer Nature; 2025:584-616. doi:<a href="https://doi.org/10.1007/978-3-032-01887-8_19">10.1007/978-3-032-01887-8_19</a>'
  apa: 'Belohorec, J., Dvořák, P., Hoffmann, C., Hubáček, P., Mašková, K., &#38; Pastyřík,
    M. (2025). On extractability of the KZG family of polynomial commitment schemes.
    In <i>45th Annual International Cryptology Conference</i> (Vol. 16005, pp. 584–616).
    Santa Barbara, CA, United States: Springer Nature. <a href="https://doi.org/10.1007/978-3-032-01887-8_19">https://doi.org/10.1007/978-3-032-01887-8_19</a>'
  chicago: Belohorec, Juraj, Pavel Dvořák, Charlotte Hoffmann, Pavel Hubáček, Kristýna
    Mašková, and Martin Pastyřík. “On Extractability of the KZG Family of Polynomial
    Commitment Schemes.” In <i>45th Annual International Cryptology Conference</i>,
    16005:584–616. Springer Nature, 2025. <a href="https://doi.org/10.1007/978-3-032-01887-8_19">https://doi.org/10.1007/978-3-032-01887-8_19</a>.
  ieee: J. Belohorec, P. Dvořák, C. Hoffmann, P. Hubáček, K. Mašková, and M. Pastyřík,
    “On extractability of the KZG family of polynomial commitment schemes,” in <i>45th
    Annual International Cryptology Conference</i>, Santa Barbara, CA, United States,
    2025, vol. 16005, pp. 584–616.
  ista: 'Belohorec J, Dvořák P, Hoffmann C, Hubáček P, Mašková K, Pastyřík M. 2025.
    On extractability of the KZG family of polynomial commitment schemes. 45th Annual
    International Cryptology Conference. CRYPTO: International Cryptology Conference,
    LNCS, vol. 16005, 584–616.'
  mla: Belohorec, Juraj, et al. “On Extractability of the KZG Family of Polynomial
    Commitment Schemes.” <i>45th Annual International Cryptology Conference</i>, vol.
    16005, Springer Nature, 2025, pp. 584–616, doi:<a href="https://doi.org/10.1007/978-3-032-01887-8_19">10.1007/978-3-032-01887-8_19</a>.
  short: J. Belohorec, P. Dvořák, C. Hoffmann, P. Hubáček, K. Mašková, M. Pastyřík,
    in:, 45th Annual International Cryptology Conference, Springer Nature, 2025, pp.
    584–616.
conference:
  end_date: 2025-08-221
  location: Santa Barbara, CA, United States
  name: 'CRYPTO: International Cryptology Conference'
  start_date: 2025-08-17
date_created: 2026-02-18T10:59:58Z
date_published: 2025-08-17T00:00:00Z
date_updated: 2026-02-19T07:50:33Z
day: '17'
department:
- _id: KrPi
doi: 10.1007/978-3-032-01887-8_19
intvolume: '     16005'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2025/514
month: '08'
oa: 1
oa_version: Preprint
page: 584-616
publication: 45th Annual International Cryptology Conference
publication_identifier:
  eisbn:
  - '9783032018878'
  eissn:
  - 1611-3349
  isbn:
  - '9783032018861'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: On extractability of the KZG family of polynomial commitment schemes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16005
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21324'
abstract:
- lang: eng
  text: Learning models have been shown to rely on spurious correlations between non-predictive
    features and the associated labels in the training data, with negative implications
    on robustness, bias and fairness. In this work, we provide a statistical characterization
    of this phenomenon for high-dimensional regression, when the data contains a predictive
    core feature x and a spurious feature y. Specifically, we quantify the amount
    of spurious correlations C learned via linear regression, in terms of the data
    covariance and the strength λ of the ridge regularization. As a consequence, we
    first capture the simplicity of y through the spectrum of its covariance, and
    its correlation with x through the Schur complement of the full data covariance.
    Next, we prove a trade-off between C and the in-distribution test loss L, by showing
    that the value of λ that minimizes L lies in an interval where C is increasing.
    Finally, we investigate the effects of over-parameterization via the random features
    model, by showing its equivalence to regularized linear regression. Our theoretical
    results are supported by numerical experiments on Gaussian, Color-MNIST, and CIFAR-10
    datasets.
acknowledgement: Marco Mondelli is funded by the European Union (ERC, INF2, project
  number 101161364). Views and opinions expressed are however those of the author(s)
  only and do not necessarily reflect those of the European Union or the European
  Research Council Executive Agency. Neither the European Union nor the granting authority
  can be held responsible for them. Simone Bombari is supported by a Google PhD fellowship.
  The authors would like to thank GuanWen Qiu for helpful discussions.
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Simone
  full_name: Bombari, Simone
  id: ca726dda-de17-11ea-bc14-f9da834f63aa
  last_name: Bombari
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Bombari S, Mondelli M. Spurious correlations in high dimensional regression:
    The roles of regularization, simplicity bias and over-parameterization. In: <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>. Vol 267. ML Research
    Press; 2025:4839-4873.'
  apa: 'Bombari, S., &#38; Mondelli, M. (2025). Spurious correlations in high dimensional
    regression: The roles of regularization, simplicity bias and over-parameterization.
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 4839–4873). Vancouver, Canada: ML Research Press.'
  chicago: 'Bombari, Simone, and Marco Mondelli. “Spurious Correlations in High Dimensional
    Regression: The Roles of Regularization, Simplicity Bias and over-Parameterization.”
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    267:4839–73. ML Research Press, 2025.'
  ieee: 'S. Bombari and M. Mondelli, “Spurious correlations in high dimensional regression:
    The roles of regularization, simplicity bias and over-parameterization,” in <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>, Vancouver, Canada,
    2025, vol. 267, pp. 4839–4873.'
  ista: 'Bombari S, Mondelli M. 2025. Spurious correlations in high dimensional regression:
    The roles of regularization, simplicity bias and over-parameterization. Proceedings
    of the 42nd International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 267, 4839–4873.'
  mla: 'Bombari, Simone, and Marco Mondelli. “Spurious Correlations in High Dimensional
    Regression: The Roles of Regularization, Simplicity Bias and over-Parameterization.”
    <i>Proceedings of the 42nd International Conference on Machine Learning</i>, vol.
    267, ML Research Press, 2025, pp. 4839–73.'
  short: S. Bombari, M. Mondelli, in:, Proceedings of the 42nd International Conference
    on Machine Learning, ML Research Press, 2025, pp. 4839–4873.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
corr_author: '1'
date_created: 2026-02-18T11:58:00Z
date_published: 2025-07-30T00:00:00Z
date_updated: 2026-02-19T08:08:55Z
day: '30'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2502.01347'
file:
- access_level: open_access
  checksum: d4ba4f7717b362ca38878f45e57bd643
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:04:38Z
  date_updated: 2026-02-19T08:04:38Z
  file_id: '21335'
  file_name: 2025_ICML_Bombari.pdf
  file_size: 887526
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:04:38Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 4839-4873
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
- _id: 92099302-16d5-11f0-9cad-f9a785f54fbd
  name: 'Trustworthy Deep Learning Theory: Private Over-Parameterized Models and Robust
    LLMs'
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: 'Spurious correlations in high dimensional regression: The roles of regularization,
  simplicity bias and over-parameterization'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21325'
abstract:
- lang: eng
  text: Test-time training (TTT) methods explicitly update the weights of a model
    to adapt to the specific test instance, and they have found success in a variety
    of settings, including most recently language modeling and reasoning. To demystify
    this success, we investigate a gradient-based TTT algorithm for in-context learning,
    where we train a transformer model on the in-context demonstrations provided in
    the test prompt. Specifically, we provide a comprehensive theoretical characterization
    of linear transformers when the update rule is a single gradient step. Our theory
    (i) delineates the role of alignment between pretraining distribution and target
    task, (ii) demystifies how TTT can alleviate distribution shift, and (iii) quantifies
    the sample complexity of TTT including how it can significantly reduce the eventual
    sample size required for in-context learning. As our empirical contribution, we
    study the benefits of TTT for TabPFN, a tabular foundation model. In line with
    our theory, we demonstrate that TTT significantly reduces the required sample
    size for tabular classification (3 to 5 times fewer) unlocking substantial inference
    efficiency with a negligible training cost.
acknowledgement: "H.A.G., M.E.I., X.Z., and S.O. were supported in part by the NSF
  grants CCF2046816, CCF-2403075, CCF-2008020, and the Office of Naval Research grant
  N000142412289.\r\nM. M. is funded by the European Union (ERC, INF2 , project number
  101161364). Views and opinions expressed are, however, those of the author(s) only
  and do not necessarily\r\nreflect those of the European Union or the European Research
  Council Executive Agency. Neither the European Union nor the granting authority
  can be held responsible for them. M.S. is supported by the Packard Fellowship in
  Science and Engineering, a Sloan Research Fellowship in Mathematics, an NSF-CAREER
  under award #1846369, DARPA FastNICS program, and NSF-CIF awards #1813877 and #2008443,
  and NIH DP2LM014564-01. The authors also\r\nacknowledge further support from Open
  Philanthropy, OpenAI, Amazon Research, Google Research, and Microsoft Research."
alternative_title:
- PMLR
article_processing_charge: No
author:
- first_name: Halil Alperen
  full_name: Gozeten, Halil Alperen
  last_name: Gozeten
- first_name: Muhammed Emrullah
  full_name: Ildiz, Muhammed Emrullah
  last_name: Ildiz
- first_name: Xuechen
  full_name: Zhang, Xuechen
  last_name: Zhang
- first_name: Mahdi
  full_name: Soltanolkotabi, Mahdi
  last_name: Soltanolkotabi
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
- first_name: Samet
  full_name: Oymak, Samet
  last_name: Oymak
citation:
  ama: 'Gozeten HA, Ildiz ME, Zhang X, Soltanolkotabi M, Mondelli M, Oymak S. Test-time
    training provably improves transformers as in-context learners. In: <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>. Vol 267. ML Research
    Press; 2025:20266-20295.'
  apa: 'Gozeten, H. A., Ildiz, M. E., Zhang, X., Soltanolkotabi, M., Mondelli, M.,
    &#38; Oymak, S. (2025). Test-time training provably improves transformers as in-context
    learners. In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 20266–20295). Vancouver, Canada: ML Research Press.'
  chicago: Gozeten, Halil Alperen, Muhammed Emrullah Ildiz, Xuechen Zhang, Mahdi Soltanolkotabi,
    Marco Mondelli, and Samet Oymak. “Test-Time Training Provably Improves Transformers
    as in-Context Learners.” In <i>Proceedings of the 42nd International Conference
    on Machine Learning</i>, 267:20266–95. ML Research Press, 2025.
  ieee: H. A. Gozeten, M. E. Ildiz, X. Zhang, M. Soltanolkotabi, M. Mondelli, and
    S. Oymak, “Test-time training provably improves transformers as in-context learners,”
    in <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    Vancouver, Canada, 2025, vol. 267, pp. 20266–20295.
  ista: 'Gozeten HA, Ildiz ME, Zhang X, Soltanolkotabi M, Mondelli M, Oymak S. 2025.
    Test-time training provably improves transformers as in-context learners. Proceedings
    of the 42nd International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 267, 20266–20295.'
  mla: Gozeten, Halil Alperen, et al. “Test-Time Training Provably Improves Transformers
    as in-Context Learners.” <i>Proceedings of the 42nd International Conference on
    Machine Learning</i>, vol. 267, ML Research Press, 2025, pp. 20266–95.
  short: H.A. Gozeten, M.E. Ildiz, X. Zhang, M. Soltanolkotabi, M. Mondelli, S. Oymak,
    in:, Proceedings of the 42nd International Conference on Machine Learning, ML
    Research Press, 2025, pp. 20266–20295.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
date_created: 2026-02-18T12:00:44Z
date_published: 2025-11-30T00:00:00Z
date_updated: 2026-02-19T08:18:24Z
day: '30'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  pmid:
  - '41321376'
file:
- access_level: open_access
  checksum: f774f8619a0d72f3975d9cb23942a1e9
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:15:48Z
  date_updated: 2026-02-19T08:15:48Z
  file_id: '21336'
  file_name: 2025_ICML_Gozeten.pdf
  file_size: 471176
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:15:48Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 20266-20295
pmid: 1
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: Test-time training provably improves transformers as in-context learners
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21326'
abstract:
- lang: eng
  text: 'Neural Collapse is a phenomenon where the last-layer representations of a
    well-trained neural network converge to a highly structured geometry. In this
    paper, we focus on its first (and most basic) property, known as NC1: the within-class
    variability vanishes. While prior theoretical studies establish the occurrence
    of NC1 via the data-agnostic unconstrained features model, our work adopts a data-specific
    perspective, analyzing NC1 in a three-layer neural network, with the first two
    layers operating in the mean-field regime and followed by a linear layer. In particular,
    we establish a fundamental connection between NC1 and the loss landscape: we prove
    that points with small empirical loss and gradient norm (thus, close to being
    stationary) approximately satisfy NC1, and the closeness to NC1 is controlled
    by the residual loss and gradient norm. We then show that (i) gradient flow on
    the mean squared error converges to NC1 solutions with small empirical loss, and
    (ii) for well-separated data distributions, both NC1 and vanishing test loss are
    achieved simultaneously. This aligns with the empirical observation that NC1 emerges
    during training while models attain near-zero test error. Overall, our results
    demonstrate that NC1 arises from gradient training due to the properties of the
    loss landscape, and they show the co-occurrence of NC1 and small test error for
    certain data distributions.'
acknowledgement: "This research was funded in whole or in part by the Austrian Science
  Fund (FWF) 10.55776/COE12. For the purpose of open access, the authors have applied
  a CC BY public\r\ncopyright license to any Author Accepted Manuscript version arising
  from this submission. The authors would like to thank Peter Sukenık for general
  helpful discussions and for pointing out that all the stationary points are approximately
  proportional in the case without entropic regularization. "
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Diyuan
  full_name: Wu, Diyuan
  id: 1a5914c2-896a-11ed-bdf8-fb80621a0635
  last_name: Wu
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Wu D, Mondelli M. Neural collapse beyond the unconstrained features model:
    Landscape, dynamics, and generalization in the mean-field regime. In: <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>. Vol 267. ML Research
    Press; 2025:67499-67536.'
  apa: 'Wu, D., &#38; Mondelli, M. (2025). Neural collapse beyond the unconstrained
    features model: Landscape, dynamics, and generalization in the mean-field regime.
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 67499–67536). Vancouver, Canada: ML Research Press.'
  chicago: 'Wu, Diyuan, and Marco Mondelli. “Neural Collapse beyond the Unconstrained
    Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime.”
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    267:67499–536. ML Research Press, 2025.'
  ieee: 'D. Wu and M. Mondelli, “Neural collapse beyond the unconstrained features
    model: Landscape, dynamics, and generalization in the mean-field regime,” in <i>Proceedings
    of the 42nd International Conference on Machine Learning</i>, Vancouver, Canada,
    2025, vol. 267, pp. 67499–67536.'
  ista: 'Wu D, Mondelli M. 2025. Neural collapse beyond the unconstrained features
    model: Landscape, dynamics, and generalization in the mean-field regime. Proceedings
    of the 42nd International Conference on Machine Learning. ICML: International
    Conference on Machine Learning, PMLR, vol. 267, 67499–67536.'
  mla: 'Wu, Diyuan, and Marco Mondelli. “Neural Collapse beyond the Unconstrained
    Features Model: Landscape, Dynamics, and Generalization in the Mean-Field Regime.”
    <i>Proceedings of the 42nd International Conference on Machine Learning</i>, vol.
    267, ML Research Press, 2025, pp. 67499–536.'
  short: D. Wu, M. Mondelli, in:, Proceedings of the 42nd International Conference
    on Machine Learning, ML Research Press, 2025, pp. 67499–67536.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
corr_author: '1'
date_created: 2026-02-18T12:02:45Z
date_published: 2025-07-30T00:00:00Z
date_updated: 2026-02-19T08:30:42Z
day: '30'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2501.19104'
file:
- access_level: open_access
  checksum: c5ce8b1c83e33dc3a11122f4910deb67
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:28:22Z
  date_updated: 2026-02-19T08:28:22Z
  file_id: '21337'
  file_name: 2025_ICML_Wu.pdf
  file_size: 3994385
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:28:22Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 67499-67536
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: 'Neural collapse beyond the unconstrained features model: Landscape, dynamics,
  and generalization in the mean-field regime'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21327'
abstract:
- lang: eng
  text: Proteins exist as a dynamic ensemble of multiple conformations, and these
    motions are often crucial for their functions. However, current structure prediction
    methods predominantly yield a single conformation, overlooking the conformational
    heterogeneity revealed by diverse experimental modalities. Here, we present a
    framework for building experiment-grounded protein structure generative models
    that infer conformational ensembles consistent with measured experimental data.
    The key idea is to treat stateof-the-art protein structure predictors (e.g., AlphaFold3)
    as sequence-conditioned structural priors, and cast ensemble modeling as posterior
    inference of protein structures given experimental measurements. Through extensive
    real-data experiments, we demonstrate the generality of our method to incorporate
    a variety of experimental measurements. In particular, our framework uncovers
    previously unmodeled conformational heterogeneity from crystallographic densities,
    and generates high-accuracy NMR ensembles orders of magnitude faster than the
    status quo. Notably, we demonstrate that our ensembles outperform AlphaFold3 (Abramson
    et al., 2024) and sometimes better fit experimental data than publicly deposited
    structures to the Protein Data Bank (PDB, Burley et al. (2017)). We believe that
    this approach will unlock building predictive models that fully embrace experimentally
    observed conformational diversity.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: 'This work was supported by the Israeli Science Foundation (ISF)
  grant number 1834/24. We acknowledge support from the Austrian Science Fund (FWF,
  grant numbers I5812-B and I6223) and the financial support of the Helmsley Fellowships
  Program for Sustainability and Health. This research uses resources of the Institute
  of Science and Technology Austria’s scientific computing cluster. '
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Sai A
  full_name: Maddipatla, Sai A
  id: e957f5e5-91c9-11f0-a95f-e090f66ecb4d
  last_name: Maddipatla
- first_name: Nadav E
  full_name: Sellam, Nadav E
  id: ef280fe0-91c9-11f0-a95f-8dea3f5bc513
  last_name: Sellam
- first_name: Meital I
  full_name: Bojan, Meital I
  id: 11d88cf5-91ca-11f0-a95f-edf9f08f47b7
  last_name: Bojan
- first_name: Sanketh
  full_name: Vedula, Sanketh
  id: 94f2fe44-70fa-11f0-b76b-92922c09452b
  last_name: Vedula
- first_name: Paul
  full_name: Schanda, Paul
  id: 7B541462-FAF6-11E9-A490-E8DFE5697425
  last_name: Schanda
  orcid: 0000-0002-9350-7606
- first_name: Ailie
  full_name: Marx, Ailie
  last_name: Marx
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
citation:
  ama: 'Maddipatla SA, Sellam NE, Bojan MI, et al. Inverse problems with experiment-guided
    AlphaFold. In: <i>Proceedings of the 42nd International Conference on Machine
    Learning</i>. Vol 267. ML Research Press; 2025:42366-42393.'
  apa: 'Maddipatla, S. A., Sellam, N. E., Bojan, M. I., Vedula, S., Schanda, P., Marx,
    A., &#38; Bronstein, A. M. (2025). Inverse problems with experiment-guided AlphaFold.
    In <i>Proceedings of the 42nd International Conference on Machine Learning</i>
    (Vol. 267, pp. 42366–42393). Vancouver, Canada: ML Research Press.'
  chicago: Maddipatla, Sai A, Nadav E Sellam, Meital I Bojan, Sanketh Vedula, Paul
    Schanda, Ailie Marx, and Alex M. Bronstein. “Inverse Problems with Experiment-Guided
    AlphaFold.” In <i>Proceedings of the 42nd International Conference on Machine
    Learning</i>, 267:42366–93. ML Research Press, 2025.
  ieee: S. A. Maddipatla <i>et al.</i>, “Inverse problems with experiment-guided AlphaFold,”
    in <i>Proceedings of the 42nd International Conference on Machine Learning</i>,
    Vancouver, Canada, 2025, vol. 267, pp. 42366–42393.
  ista: 'Maddipatla SA, Sellam NE, Bojan MI, Vedula S, Schanda P, Marx A, Bronstein
    AM. 2025. Inverse problems with experiment-guided AlphaFold. Proceedings of the
    42nd International Conference on Machine Learning. ICML: International Conference
    on Machine Learning, PMLR, vol. 267, 42366–42393.'
  mla: Maddipatla, Sai A., et al. “Inverse Problems with Experiment-Guided AlphaFold.”
    <i>Proceedings of the 42nd International Conference on Machine Learning</i>, vol.
    267, ML Research Press, 2025, pp. 42366–93.
  short: S.A. Maddipatla, N.E. Sellam, M.I. Bojan, S. Vedula, P. Schanda, A. Marx,
    A.M. Bronstein, in:, Proceedings of the 42nd International Conference on Machine
    Learning, ML Research Press, 2025, pp. 42366–42393.
conference:
  end_date: 2025-07-19
  location: Vancouver, Canada
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2025-07-13
corr_author: '1'
date_created: 2026-02-18T12:11:17Z
date_published: 2025-07-30T00:00:00Z
date_updated: 2026-02-19T08:56:43Z
day: '30'
ddc:
- '000'
- '540'
department:
- _id: PaSc
- _id: AlBr
- _id: GradSch
external_id:
  arxiv:
  - '2502.09372'
file:
- access_level: open_access
  checksum: f33230a6d59b7978d4cd72795e4e9059
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T08:56:10Z
  date_updated: 2026-02-19T08:56:10Z
  file_id: '21338'
  file_name: 2025_ICML_Maddipatla.pdf
  file_size: 1924177
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T08:56:10Z
has_accepted_license: '1'
intvolume: '       267'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 42366 - 42393
project:
- _id: eb9c82eb-77a9-11ec-83b8-aadd536561cf
  grant_number: I05812
  name: AlloSpace. The emergence and mechanisms of allostery
- _id: bdb9578d-d553-11ed-ba76-ed5d39fce6f0
  grant_number: I06223
  name: Structure and mechanism of the mitochondrial MIM insertase
publication: Proceedings of the 42nd International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
status: public
title: Inverse problems with experiment-guided AlphaFold
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 267
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21328'
abstract:
- lang: eng
  text: Multi-index models provide a popular framework to investigate the learnability
    of functions with low-dimensional structure and, also due to their connections
    with neural networks, they have been object of recent intensive study. In this
    paper, we focus on recovering the subspace spanned by the signals via spectral
    estimators – a family of methods routinely used in practice, often as a warm-start
    for iterative algorithms. Our main technical contribution is a precise asymptotic
    characterization of the performance of spectral methods, when sample size and
    input dimension grow proportionally and the dimension p of the space to recover
    is fixed. Specifically, we locate the top-p eigenvalues of the spectral matrix
    and establish the overlaps between the corresponding eigenvectors (which give
    the spectral estimators) and a basis of the signal subspace. Our analysis unveils
    a phase transition phenomenon in which, as the sample complexity grows, eigenvalues
    escape from the bulk of the spectrum and, when that happens, eigenvectors recover
    directions of the desired subspace. The precise characterization we put forward
    enables the optimization of the data preprocessing, thus allowing to identify
    the spectral estimator that requires the minimal sample size for weak recovery.
acknowledgement: "This work was done when Y. Z. was at the Institute of Science and
  Technology Austria. Y. Z. and\r\nM. M. are funded by the European Union (ERC, INF2,
  project number 101161364). Views and\r\nopinions expressed are however those of
  the author(s) only and do not necessarily reflect those of the European Union or
  the European Research Council Executive Agency. Neither the European Union nor the
  granting authority can be held responsible for them. The authors would like to acknowledge
  (in alphabetical order) discussions with Yatin Dandi, Leonardo Defilippis and Bruno
  Loureiro concerning their parallel work (Defilippis et al., 2025)."
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Filip
  full_name: Kovačević, Filip
  id: d0258e7b-50b8-11ef-ad56-8b9f537b6b1b
  last_name: Kovačević
- first_name: Zhang
  full_name: Yihan, Zhang
  last_name: Yihan
- first_name: Marco
  full_name: Mondelli, Marco
  id: 27EB676C-8706-11E9-9510-7717E6697425
  last_name: Mondelli
  orcid: 0000-0002-3242-7020
citation:
  ama: 'Kovačević F, Yihan Z, Mondelli M. Spectral estimators for multi-index models:
    Precise asymptotics and optimal weak recovery. In: <i>Proceedings of 38th Conference
    on Learning Theory</i>. Vol 291. ML Research Press; 2025:3354-3404.'
  apa: 'Kovačević, F., Yihan, Z., &#38; Mondelli, M. (2025). Spectral estimators for
    multi-index models: Precise asymptotics and optimal weak recovery. In <i>Proceedings
    of 38th Conference on Learning Theory</i> (Vol. 291, pp. 3354–3404). Lyon, France:
    ML Research Press.'
  chicago: 'Kovačević, Filip, Zhang Yihan, and Marco Mondelli. “Spectral Estimators
    for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery.” In <i>Proceedings
    of 38th Conference on Learning Theory</i>, 291:3354–3404. ML Research Press, 2025.'
  ieee: 'F. Kovačević, Z. Yihan, and M. Mondelli, “Spectral estimators for multi-index
    models: Precise asymptotics and optimal weak recovery,” in <i>Proceedings of 38th
    Conference on Learning Theory</i>, Lyon, France, 2025, vol. 291, pp. 3354–3404.'
  ista: 'Kovačević F, Yihan Z, Mondelli M. 2025. Spectral estimators for multi-index
    models: Precise asymptotics and optimal weak recovery. Proceedings of 38th Conference
    on Learning Theory. COLT: Conference on Learning Theory, PMLR, vol. 291, 3354–3404.'
  mla: 'Kovačević, Filip, et al. “Spectral Estimators for Multi-Index Models: Precise
    Asymptotics and Optimal Weak Recovery.” <i>Proceedings of 38th Conference on Learning
    Theory</i>, vol. 291, ML Research Press, 2025, pp. 3354–404.'
  short: F. Kovačević, Z. Yihan, M. Mondelli, in:, Proceedings of 38th Conference
    on Learning Theory, ML Research Press, 2025, pp. 3354–3404.
conference:
  end_date: 2025-07-04
  location: Lyon, France
  name: 'COLT: Conference on Learning Theory'
  start_date: 2025-06-30
corr_author: '1'
date_created: 2026-02-18T12:12:47Z
date_published: 2025-07-01T00:00:00Z
date_updated: 2026-02-19T09:03:53Z
day: '01'
ddc:
- '000'
department:
- _id: MaMo
external_id:
  arxiv:
  - '2502.01583'
file:
- access_level: open_access
  checksum: 19aa70ab4f57fb9067b6ebb99a5fd6f0
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-19T09:03:43Z
  date_updated: 2026-02-19T09:03:43Z
  file_id: '21339'
  file_name: 2025_LearningTheory_Kovacevic.pdf
  file_size: 844611
  relation: main_file
  success: 1
file_date_updated: 2026-02-19T09:03:43Z
has_accepted_license: '1'
intvolume: '       291'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 3354-3404
project:
- _id: 911e6d1f-16d5-11f0-9cad-c5c68c6a1cdf
  grant_number: '101161364'
  name: 'Inference in High Dimensions: Light-speed Algorithms and Information Limits'
publication: Proceedings of 38th Conference on Learning Theory
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Spectral estimators for multi-index models: Precise asymptotics and optimal
  weak recovery'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 291
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21343'
abstract:
- lang: eng
  text: "The large sieve is used to estimate the density of quadratic polynomials
    Q ∈ Z[x],\r\nsuch that there exists an odd degree polynomial defined over Z which
    has resultant ±1 with Q.\r\nGiven a monic polynomial R ∈ Z[x] of odd degree, this
    is used to show that for almost all\r\nquadratic polynomials Q ∈ Z[x], there exists
    a prime p such that Q and R share a common\r\nroot in Fp. Using recent work of
    Landesman, an application to the average size of the odd part\r\nof the class
    group of quadratic number fields is also given"
- lang: fre
  text: ' Le grand crible est utilisé pour estimer la densité des polynômes quadratiques
    Q ∈ Z[x] tels qu’il existe un polynôme de degré impair défini sur Z dont le résultant
    avec Q est égal à ±1. Étant donné un polynôme unitaire R ∈ Z[x] de degré impair,
    on s’en sert pour montrer que, pour presque tous les polynômes quadratiques Q
    ∈ Z[x], il existe un nombre premier p tel que Q et R aient une racine commune
    dans Fp. En utilisant des travaux récents de Landesman, on obtient également une
    application concernant la taille moyenne de la partie impaire du groupe de classe
    des corps quadratiques.'
acknowledgement: While working on this paper, the first author was supported by a
  FWF grant (DOI 10.55776/P36278).
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Yik Tung
  full_name: Chan, Yik Tung
  id: c4c0afc8-9262-11ed-9231-d8b0bc743af1
  last_name: Chan
  orcid: 0000-0001-8467-4106
citation:
  ama: Browning TD, Chan S. Solubility of a resultant equation and applications. <i>Journal
    de l’ecole polytechnique mathematiques</i>. 2025;12:1677-1691. doi:<a href="https://doi.org/10.5802/jep.320">10.5802/jep.320</a>
  apa: Browning, T. D., &#38; Chan, S. (2025). Solubility of a resultant equation
    and applications. <i>Journal de l’ecole Polytechnique Mathematiques</i>. Ecole
    polytechnique. <a href="https://doi.org/10.5802/jep.320">https://doi.org/10.5802/jep.320</a>
  chicago: Browning, Timothy D, and Stephanie Chan. “Solubility of a Resultant Equation
    and Applications.” <i>Journal de l’ecole Polytechnique Mathematiques</i>. Ecole
    polytechnique, 2025. <a href="https://doi.org/10.5802/jep.320">https://doi.org/10.5802/jep.320</a>.
  ieee: T. D. Browning and S. Chan, “Solubility of a resultant equation and applications,”
    <i>Journal de l’ecole polytechnique mathematiques</i>, vol. 12. Ecole polytechnique,
    pp. 1677–1691, 2025.
  ista: Browning TD, Chan S. 2025. Solubility of a resultant equation and applications.
    Journal de l’ecole polytechnique mathematiques. 12, 1677–1691.
  mla: Browning, Timothy D., and Stephanie Chan. “Solubility of a Resultant Equation
    and Applications.” <i>Journal de l’ecole Polytechnique Mathematiques</i>, vol.
    12, Ecole polytechnique, 2025, pp. 1677–91, doi:<a href="https://doi.org/10.5802/jep.320">10.5802/jep.320</a>.
  short: T.D. Browning, S. Chan, Journal de l’ecole Polytechnique Mathematiques 12
    (2025) 1677–1691.
corr_author: '1'
date_created: 2026-02-22T23:01:36Z
date_published: 2025-10-21T00:00:00Z
date_updated: 2026-02-24T07:57:53Z
day: '21'
ddc:
- '510'
department:
- _id: TiBr
doi: 10.5802/jep.320
external_id:
  arxiv:
  - '2411.09264'
file:
- access_level: open_access
  checksum: 828577ea48ac6109d3e9dd1aeddd45c4
  content_type: application/pdf
  creator: dernst
  date_created: 2026-02-24T07:56:34Z
  date_updated: 2026-02-24T07:56:34Z
  file_id: '21356'
  file_name: 2025_JEP_Browning.pdf
  file_size: 1003689
  relation: main_file
  success: 1
file_date_updated: 2026-02-24T07:56:34Z
has_accepted_license: '1'
intvolume: '        12'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1677-1691
project:
- _id: bd8a4fdc-d553-11ed-ba76-80a0167441a3
  grant_number: P36278
  name: Rational curves via function field analytic number theory
publication: Journal de l'ecole polytechnique mathematiques
publication_identifier:
  eissn:
  - 2270-518X
  issn:
  - 2429-7100
publication_status: published
publisher: Ecole polytechnique
quality_controlled: '1'
scopus_import: '1'
status: public
title: Solubility of a resultant equation and applications
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2025'
...
---
OA_place: repository
_id: '21399'
abstract:
- lang: eng
  text: We report on the Equational Theories Project (ETP), an online collaborative
    pilot project to explore new ways to collaborate in mathematics with machine assistance.
    The project successfully determined all 22 028 942 edges of the implication graph
    between the 4694 simplest equational laws on magmas, by a combination of human-generated
    and automated proofs, all validated by the formal proof assistant language Lean.
    As a result of this project, several new constructions of magmas satisfying specific
    laws were discovered, and several auxiliary questions were also addressed, such
    as the effect of restricting attention to finite magmas.
article_processing_charge: No
arxiv: 1
author:
- first_name: Matthew
  full_name: Bolan, Matthew
  last_name: Bolan
- first_name: Joachim
  full_name: Breitner, Joachim
  last_name: Breitner
- first_name: Jose
  full_name: Brox, Jose
  last_name: Brox
- first_name: Nicholas
  full_name: Carlini, Nicholas
  last_name: Carlini
- first_name: Mario
  full_name: Carneiro, Mario
  last_name: Carneiro
- first_name: Floris van
  full_name: Doorn, Floris van
  last_name: Doorn
- first_name: Martin
  full_name: Dvorak, Martin
  id: 40ED02A8-C8B4-11E9-A9C0-453BE6697425
  last_name: Dvorak
  orcid: 0000-0001-5293-214X
- first_name: Andrés
  full_name: Goens, Andrés
  last_name: Goens
- first_name: Aaron
  full_name: Hill, Aaron
  last_name: Hill
- first_name: Harald
  full_name: Husum, Harald
  last_name: Husum
- first_name: Hernán Ibarra
  full_name: Mejia, Hernán Ibarra
  last_name: Mejia
- first_name: Zoltan A.
  full_name: Kocsis, Zoltan A.
  last_name: Kocsis
- first_name: Bruno Le
  full_name: Floch, Bruno Le
  last_name: Floch
- first_name: Amir
  full_name: Bar-on, Amir
  last_name: Bar-on
- first_name: Lorenzo
  full_name: Luccioli, Lorenzo
  last_name: Luccioli
- first_name: Douglas
  full_name: McNeil, Douglas
  last_name: McNeil
- first_name: Alex
  full_name: Meiburg, Alex
  last_name: Meiburg
- first_name: Pietro
  full_name: Monticone, Pietro
  last_name: Monticone
- first_name: Pace P.
  full_name: Nielsen, Pace P.
  last_name: Nielsen
- first_name: Emmanuel Osalotioman
  full_name: Osazuwa, Emmanuel Osalotioman
  last_name: Osazuwa
- first_name: Giovanni
  full_name: Paolini, Giovanni
  last_name: Paolini
- first_name: Marco
  full_name: Petracci, Marco
  last_name: Petracci
- first_name: Bernhard
  full_name: Reinke, Bernhard
  last_name: Reinke
- first_name: David
  full_name: Renshaw, David
  last_name: Renshaw
- first_name: Marcus
  full_name: Rossel, Marcus
  last_name: Rossel
- first_name: Cody
  full_name: Roux, Cody
  last_name: Roux
- first_name: Jérémy
  full_name: Scanvic, Jérémy
  last_name: Scanvic
- first_name: Shreyas
  full_name: Srinivas, Shreyas
  last_name: Srinivas
- first_name: Anand Rao
  full_name: Tadipatri, Anand Rao
  last_name: Tadipatri
- first_name: Terence
  full_name: Tao, Terence
  last_name: Tao
- first_name: Vlad
  full_name: Tsyrklevich, Vlad
  last_name: Tsyrklevich
- first_name: Fernando
  full_name: Vaquerizo-Villar, Fernando
  last_name: Vaquerizo-Villar
- first_name: Daniel
  full_name: Weber, Daniel
  last_name: Weber
- first_name: Fan
  full_name: Zheng, Fan
  last_name: Zheng
citation:
  ama: 'Bolan M, Breitner J, Brox J, et al. The equational theories project: Advancing
    collaborative mathematical research at scale. <i>arXiv</i>. doi:<a href="https://doi.org/10.48550/arXiv.2512.07087">10.48550/arXiv.2512.07087</a>'
  apa: 'Bolan, M., Breitner, J., Brox, J., Carlini, N., Carneiro, M., Doorn, F. van,
    … Zheng, F. (n.d.). The equational theories project: Advancing collaborative mathematical
    research at scale. <i>arXiv</i>. <a href="https://doi.org/10.48550/arXiv.2512.07087">https://doi.org/10.48550/arXiv.2512.07087</a>'
  chicago: 'Bolan, Matthew, Joachim Breitner, Jose Brox, Nicholas Carlini, Mario Carneiro,
    Floris van Doorn, Martin Dvorak, et al. “The Equational Theories Project: Advancing
    Collaborative Mathematical Research at Scale.” <i>ArXiv</i>, n.d. <a href="https://doi.org/10.48550/arXiv.2512.07087">https://doi.org/10.48550/arXiv.2512.07087</a>.'
  ieee: 'M. Bolan <i>et al.</i>, “The equational theories project: Advancing collaborative
    mathematical research at scale,” <i>arXiv</i>. .'
  ista: 'Bolan M, Breitner J, Brox J, Carlini N, Carneiro M, Doorn F van, Dvorak M,
    Goens A, Hill A, Husum H, Mejia HI, Kocsis ZA, Floch BL, Bar-on A, Luccioli L,
    McNeil D, Meiburg A, Monticone P, Nielsen PP, Osazuwa EO, Paolini G, Petracci
    M, Reinke B, Renshaw D, Rossel M, Roux C, Scanvic J, Srinivas S, Tadipatri AR,
    Tao T, Tsyrklevich V, Vaquerizo-Villar F, Weber D, Zheng F. The equational theories
    project: Advancing collaborative mathematical research at scale. arXiv, <a href="https://doi.org/10.48550/arXiv.2512.07087">10.48550/arXiv.2512.07087</a>.'
  mla: 'Bolan, Matthew, et al. “The Equational Theories Project: Advancing Collaborative
    Mathematical Research at Scale.” <i>ArXiv</i>, doi:<a href="https://doi.org/10.48550/arXiv.2512.07087">10.48550/arXiv.2512.07087</a>.'
  short: M. Bolan, J. Breitner, J. Brox, N. Carlini, M. Carneiro, F. van Doorn, M.
    Dvorak, A. Goens, A. Hill, H. Husum, H.I. Mejia, Z.A. Kocsis, B.L. Floch, A. Bar-on,
    L. Luccioli, D. McNeil, A. Meiburg, P. Monticone, P.P. Nielsen, E.O. Osazuwa,
    G. Paolini, M. Petracci, B. Reinke, D. Renshaw, M. Rossel, C. Roux, J. Scanvic,
    S. Srinivas, A.R. Tadipatri, T. Tao, V. Tsyrklevich, F. Vaquerizo-Villar, D. Weber,
    F. Zheng, ArXiv (n.d.).
date_created: 2026-03-04T12:00:16Z
date_published: 2025-12-16T00:00:00Z
date_updated: 2026-03-12T08:36:21Z
day: '16'
department:
- _id: GradSch
- _id: VlKo
doi: 10.48550/arXiv.2512.07087
external_id:
  arxiv:
  - '2512.07087'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2512.07087
month: '12'
oa: 1
oa_version: Preprint
publication: arXiv
publication_status: submitted
status: public
title: 'The equational theories project: Advancing collaborative mathematical research
  at scale'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: preprint
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '21412'
abstract:
- lang: eng
  text: "Payment channel networks (PCNs) are a promising technology that alleviates
    blockchain scalability by shifting the transaction load from the blockchain to
    the PCN. Nevertheless, the network topology has to be carefully designed to maximise
    the transaction throughput in PCNs. Additionally, users in PCNs also have to make
    optimal decisions on which transactions to forward and which to reject to prolong
    the lifetime of their channels. In this work, we consider an input sequence of
    transactions over p parties. Each transaction consists of a transaction size,
    source, and target, and can be either accepted or rejected (entailing a cost).
    The goal is to design a PCN topology among the p cooperating parties, along with
    the channel capacities, and then output a decision for each transaction in the
    sequence to minimise the cost of creating and augmenting channels, as well as
    the cost of rejecting transactions. Our main contribution is an \U0001D4AA(p)
    approximation algorithm for the problem with p parties. We further show that with
    some assumptions on the distribution of transactions, we can reduce the approximation
    ratio to \U0001D4AA(√p). We complement our theoretical analysis with an empirical
    study of our assumptions and approach in the context of the Lightning Network."
acknowledgement: "Chatterjee, Krishnendu: European Research Council CoG 863818 (ForM-SMArt)
  and Austrian Science Fund 10.55776/COE12.\r\nKřišťan, Jan Matyáš: Czech Science
  Foundation Grant no. 24-12046S.\r\nSchmid, Stefan: German Research Foundation (DFG)
  project ReNO (SPP 2378) from 2023-2027.\r\nSvoboda, Jakub: European Research Council
  CoG 863818 (ForM-SMArt) and Austrian Science Fund 10.55776/COE12.\r\nYeo, Michelle:
  MOE-T2EP20122-0014 (Data-Driven Distributed Algorithms)."
alternative_title:
- LIPIcs
article_number: '23'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Jan Matyáš
  full_name: Křišťan, Jan Matyáš
  last_name: Křišťan
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Michelle X
  full_name: Yeo, Michelle X
  id: 2D82B818-F248-11E8-B48F-1D18A9856A87
  last_name: Yeo
  orcid: 0009-0001-3676-4809
citation:
  ama: 'Chatterjee K, Křišťan JM, Schmid S, Svoboda J, Yeo MX. Boosting payment channel
    network liquidity with topology optimization and transaction selection. In: <i>39th
    International Symposium on Distributed Computing</i>. Vol 356. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2025. doi:<a href="https://doi.org/10.4230/LIPIcs.DISC.2025.23">10.4230/LIPIcs.DISC.2025.23</a>'
  apa: 'Chatterjee, K., Křišťan, J. M., Schmid, S., Svoboda, J., &#38; Yeo, M. X.
    (2025). Boosting payment channel network liquidity with topology optimization
    and transaction selection. In <i>39th International Symposium on Distributed Computing</i>
    (Vol. 356). Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.DISC.2025.23">https://doi.org/10.4230/LIPIcs.DISC.2025.23</a>'
  chicago: Chatterjee, Krishnendu, Jan Matyáš Křišťan, Stefan Schmid, Jakub Svoboda,
    and Michelle X Yeo. “Boosting Payment Channel Network Liquidity with Topology
    Optimization and Transaction Selection.” In <i>39th International Symposium on
    Distributed Computing</i>, Vol. 356. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2025. <a href="https://doi.org/10.4230/LIPIcs.DISC.2025.23">https://doi.org/10.4230/LIPIcs.DISC.2025.23</a>.
  ieee: K. Chatterjee, J. M. Křišťan, S. Schmid, J. Svoboda, and M. X. Yeo, “Boosting
    payment channel network liquidity with topology optimization and transaction selection,”
    in <i>39th International Symposium on Distributed Computing</i>, Berlin, Germany,
    2025, vol. 356.
  ista: 'Chatterjee K, Křišťan JM, Schmid S, Svoboda J, Yeo MX. 2025. Boosting payment
    channel network liquidity with topology optimization and transaction selection.
    39th International Symposium on Distributed Computing. DISC: Symposium on Distributed
    Computing, LIPIcs, vol. 356, 23.'
  mla: Chatterjee, Krishnendu, et al. “Boosting Payment Channel Network Liquidity
    with Topology Optimization and Transaction Selection.” <i>39th International Symposium
    on Distributed Computing</i>, vol. 356, 23, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2025, doi:<a href="https://doi.org/10.4230/LIPIcs.DISC.2025.23">10.4230/LIPIcs.DISC.2025.23</a>.
  short: K. Chatterjee, J.M. Křišťan, S. Schmid, J. Svoboda, M.X. Yeo, in:, 39th International
    Symposium on Distributed Computing, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2025.
conference:
  end_date: 2025-10-31
  location: Berlin, Germany
  name: 'DISC: Symposium on Distributed Computing'
  start_date: 2025-10-27
date_created: 2026-03-08T23:01:46Z
date_published: 2025-10-22T00:00:00Z
date_updated: 2026-03-09T11:52:58Z
day: '22'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.DISC.2025.23
ec_funded: 1
external_id:
  arxiv:
  - '2508.14524'
file:
- access_level: open_access
  checksum: 8e3d1594365df60163d9df22158a37b1
  content_type: application/pdf
  creator: dernst
  date_created: 2026-03-09T11:51:59Z
  date_updated: 2026-03-09T11:51:59Z
  file_id: '21418'
  file_name: 2025_DISC_Chatterjee.pdf
  file_size: 1130069
  relation: main_file
  success: 1
file_date_updated: 2026-03-09T11:51:59Z
has_accepted_license: '1'
intvolume: '       356'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2025/1484.pdf
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 39th International Symposium on Distributed Computing
publication_identifier:
  isbn:
  - '9783959774024'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Boosting payment channel network liquidity with topology optimization and transaction
  selection
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 356
year: '2025'
...
---
DOAJ_listed: '1'
OA_place: publisher
OA_type: gold
PlanS_conform: '1'
_id: '21413'
abstract:
- lang: eng
  text: "We present a general framework for applying learning algorithms and heuristical
    guidance to the verification of Markov decision processes (MDPs).\r\nThe primary
    goal of our techniques is to improve performance by avoiding an exhaustive exploration
    of the state space, instead focussing on particularly relevant areas of the system,
    guided by heuristics. Our work builds on the previous results of Br{á}zdil et
    al., significantly extending it as well as refining several details and fixing
    errors.\r\nThe presented framework focuses on probabilistic reachability, which
    is a core problem in verification, and is instantiated in two distinct scenarios.\r\nThe
    first assumes that full knowledge of the MDP is available, in particular precise
    transition probabilities. It performs a heuristic-driven partial exploration of
    the model, yielding precise lower and upper bounds on the required probability.
    The second tackles the case where we may only sample the MDP without knowing the
    exact transition dynamics. Here, we obtain probabilistic guarantees, again in
    terms of both the lower and upper bounds, which provides efficient stopping criteria
    for the approximation. In particular, the latter is an extension of statistical
    model-checking (SMC) for unbounded properties in MDPs. In contrast to other related
    approaches, we do not restrict our attention to time-bounded (finite-horizon)
    or discounted properties, nor assume any particular structural properties of the
    MDP."
acknowledgement: "This research was funded in part by the European Research Council
  (ERC) under grant agreement AdG-267989 (QUAREM)*, AdG-246967 (VERIWARE)*, StG-279307
  (Graph Games)*\r\n, CoG-863818 (ForM-SMArt), and AdG-834115 (FUN2MODEL), by the
  EU FP7 project HIERATIC*, by the German Research Foundation (DFG) project 427755713
  (GOPro), by the Austrian Science Fund (FWF) projects S11402-N23 (RiSE)* , S11407-N23
  (RiSE)*\r\n, and P23499-N23* , by the Czech Science Foundation grant No P202/12/P612*
  and GA23-06963S, by the MUNI Award in Science and Humanities (MUNI/I/1757/2021)
  of the Grant\r\nAgency of Masaryk University, by EPSRC project EP/K038575/1*, and
  by the Microsoft faculty fellows award*. A preliminary version of this article appeared
  at ATVA 2014 [33]. The * indicates funding that supported that version."
article_number: '10'
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Tomáš
  full_name: Brázdil, Tomáš
  last_name: Brázdil
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Chmelik, Martin
  id: 3624234E-F248-11E8-B48F-1D18A9856A87
  last_name: Chmelik
- first_name: Vojtěch
  full_name: Forejt, Vojtěch
  last_name: Forejt
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Marta
  full_name: Kwiatkowska, Marta
  last_name: Kwiatkowska
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: David
  full_name: Parker, David
  last_name: Parker
- first_name: Mateusz
  full_name: Ujma, Mateusz
  last_name: Ujma
citation:
  ama: Brázdil T, Chatterjee K, Chmelik M, et al. Learning algorithms for verification
    of Markov decision processes. <i>TheoretiCS</i>. 2025;4. doi:<a href="https://doi.org/10.46298/theoretics.25.10">10.46298/theoretics.25.10</a>
  apa: Brázdil, T., Chatterjee, K., Chmelik, M., Forejt, V., Kretinsky, J., Kwiatkowska,
    M., … Ujma, M. (2025). Learning algorithms for verification of Markov decision
    processes. <i>TheoretiCS</i>. TheoretiCS Foundation. <a href="https://doi.org/10.46298/theoretics.25.10">https://doi.org/10.46298/theoretics.25.10</a>
  chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Martin Chmelik, Vojtěch Forejt,
    Jan Kretinsky, Marta Kwiatkowska, Tobias Meggendorfer, David Parker, and Mateusz
    Ujma. “Learning Algorithms for Verification of Markov Decision Processes.” <i>TheoretiCS</i>.
    TheoretiCS Foundation, 2025. <a href="https://doi.org/10.46298/theoretics.25.10">https://doi.org/10.46298/theoretics.25.10</a>.
  ieee: T. Brázdil <i>et al.</i>, “Learning algorithms for verification of Markov
    decision processes,” <i>TheoretiCS</i>, vol. 4. TheoretiCS Foundation, 2025.
  ista: Brázdil T, Chatterjee K, Chmelik M, Forejt V, Kretinsky J, Kwiatkowska M,
    Meggendorfer T, Parker D, Ujma M. 2025. Learning algorithms for verification of
    Markov decision processes. TheoretiCS. 4, 10.
  mla: Brázdil, Tomáš, et al. “Learning Algorithms for Verification of Markov Decision
    Processes.” <i>TheoretiCS</i>, vol. 4, 10, TheoretiCS Foundation, 2025, doi:<a
    href="https://doi.org/10.46298/theoretics.25.10">10.46298/theoretics.25.10</a>.
  short: T. Brázdil, K. Chatterjee, M. Chmelik, V. Forejt, J. Kretinsky, M. Kwiatkowska,
    T. Meggendorfer, D. Parker, M. Ujma, TheoretiCS 4 (2025).
date_created: 2026-03-08T23:01:46Z
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title: Learning algorithms for verification of Markov decision processes
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abstract:
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  text: Contract-based design is a promising methodology for taming the complexity
    of developing sophisticated systems. A formal contract distinguishes between assumptions,
    which are constraints that the designer of a component puts on the environments
    in which the component can be used safely, and guarantees, which are promises
    that the designer asks from the team that implements the component. A theory of
    formal contracts can be formalized as an interface theory, which supports the
    composition and refinement of both assumptions and guarantees. Although there
    is a rich landscape of contract-based design methods that address functional and
    extra-functional properties, we present the first interface theory designed to
    ensure system-wide security properties. Our framework provides a refinement relation
    and a composition operation that support both incremental design and independent
    implementability. We develop our theory for both stateless and stateful interfaces.
    Additionally, we introduce information-flow contracts where assumptions and guarantees
    are sets of flow relations. We use these contracts to illustrate how to enrich
    information-flow interfaces with a semantic view. We illustrate the applicability
    of our framework with two examples inspired by the automotive domain.
acknowledgement: This project has received funding from the European Union’s Horizon
  2020 research and innovation programme under grant agreement No 956123 and it was
  funded in part by the Austrian Science Fund (FWF) project W1255-N23, by the Austrian
  FWF project ZK-35, by the FWF project SpyCoDe 10.55776/F85 and by the ERC-2020-AdG
  101020093. This paper extends the text and the results of the manuscript published
  at FASE 2022 [1].
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Ezio
  full_name: Bartocci, Ezio
  last_name: Bartocci
- first_name: Thomas
  full_name: Ferrere, Thomas
  id: 40960E6E-F248-11E8-B48F-1D18A9856A87
  last_name: Ferrere
  orcid: 0000-0001-5199-3143
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Dejan
  full_name: Nickovic, Dejan
  id: 41BCEE5C-F248-11E8-B48F-1D18A9856A87
  last_name: Nickovic
- first_name: Ana
  full_name: Oliveira da Costa, Ana
  id: f347ec37-6676-11ee-b395-a888cb7b4fb4
  last_name: Oliveira da Costa
  orcid: 0000-0002-8741-5799
citation:
  ama: Bartocci E, Ferrere T, Henzinger TA, Nickovic D, Oliveira da Costa A. Information-flow
    interfaces. <i>Formal Methods in System Design</i>. 2025;66:3-48. doi:<a href="https://doi.org/10.1007/s10703-024-00447-0">10.1007/s10703-024-00447-0</a>
  apa: Bartocci, E., Ferrere, T., Henzinger, T. A., Nickovic, D., &#38; Oliveira da
    Costa, A. (2025). Information-flow interfaces. <i>Formal Methods in System Design</i>.
    Springer Nature. <a href="https://doi.org/10.1007/s10703-024-00447-0">https://doi.org/10.1007/s10703-024-00447-0</a>
  chicago: Bartocci, Ezio, Thomas Ferrere, Thomas A Henzinger, Dejan Nickovic, and
    Ana Oliveira da Costa. “Information-Flow Interfaces.” <i>Formal Methods in System
    Design</i>. Springer Nature, 2025. <a href="https://doi.org/10.1007/s10703-024-00447-0">https://doi.org/10.1007/s10703-024-00447-0</a>.
  ieee: E. Bartocci, T. Ferrere, T. A. Henzinger, D. Nickovic, and A. Oliveira da
    Costa, “Information-flow interfaces,” <i>Formal Methods in System Design</i>,
    vol. 66. Springer Nature, pp. 3–48, 2025.
  ista: Bartocci E, Ferrere T, Henzinger TA, Nickovic D, Oliveira da Costa A. 2025.
    Information-flow interfaces. Formal Methods in System Design. 66, 3–48.
  mla: Bartocci, Ezio, et al. “Information-Flow Interfaces.” <i>Formal Methods in
    System Design</i>, vol. 66, Springer Nature, 2025, pp. 3–48, doi:<a href="https://doi.org/10.1007/s10703-024-00447-0">10.1007/s10703-024-00447-0</a>.
  short: E. Bartocci, T. Ferrere, T.A. Henzinger, D. Nickovic, A. Oliveira da Costa,
    Formal Methods in System Design 66 (2025) 3–48.
corr_author: '1'
date_created: 2024-06-02T22:00:57Z
date_published: 2025-05-01T00:00:00Z
date_updated: 2025-12-30T06:50:51Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/s10703-024-00447-0
ec_funded: 1
external_id:
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oa_version: Published Version
page: 3-48
project:
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title: Information-flow interfaces
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...
